87041551484160 has 6912 divisors, whose sum is σ = 437741396951040. Its totient is φ = 16034017443840.

The previous prime is 87041551484159. The next prime is 87041551484161. The reversal of 87041551484160 is 6148415514078.

87041551484160 is a `hidden beast` number, since 8 + 7 + 0 + 4 + 1 + 551 + 4 + 84 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87041551484159) and next prime (87041551484161).

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 87041551484097 and 87041551484106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87041551484161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 383442957967 + ... + 383442958193.

It is an arithmetic number, because the mean of its divisors is an integer number (63330641920).

Almost surely, 2^{87041551484160} is an apocalyptic number.

87041551484160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87041551484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218870698475520).

87041551484160 is an abundant number, since it is smaller than the sum of its proper divisors (350699845466880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87041551484160 is a wasteful number, since it uses less digits than its factorization.

87041551484160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 87041551484160 in words is "eighty-seven trillion, forty-one billion, five hundred fifty-one million, four hundred eighty-four thousand, one hundred sixty".