87093202484160 has 448 divisors, whose sum is σ = 309597990912000. Its totient is φ = 23047637336064.

The previous prime is 87093202484149. The next prime is 87093202484161. The reversal of 87093202484160 is 6148420239078.

87093202484160 is a `hidden beast` number, since 8 + 70 + 9 + 32 + 0 + 2 + 484 + 1 + 60 = 666.

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 = 87093202484097 and 87093202484106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87093202484161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 658448752 + ... + 658581008.

It is an arithmetic number, because the mean of its divisors is an integer number (691066944000).

Almost surely, 2^{87093202484160} is an apocalyptic number.

87093202484160 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 87093202484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154798995456000).

87093202484160 is an abundant number, since it is smaller than the sum of its proper divisors (222504788427840).

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

87093202484160 is a wasteful number, since it uses less digits than its factorization.

87093202484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132865 (or 132849 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 87093202484160 in words is "eighty-seven trillion, ninety-three billion, two hundred two million, four hundred eighty-four thousand, one hundred sixty".