87136620480 has 1344 divisors, whose sum is σ = 400597908480. Its totient is φ = 17360510976.

The previous prime is 87136620457. The next prime is 87136620481. The reversal of 87136620480 is 8402663178.

87136620480 is a `hidden beast` number, since 8 + 7 + 1 + 366 + 204 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87136620481) 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 191 ways as a sum of consecutive naturals, for example, 283832487 + ... + 283832793.

It is an arithmetic number, because the mean of its divisors is an integer number (298063920).

Almost surely, 2^87136620480 is an apocalyptic number.

87136620480 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 87136620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200298954240).

87136620480 is an abundant number, since it is smaller than the sum of its proper divisors (313461288000).

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

87136620480 is a wasteful number, since it uses less digits than its factorization.

87136620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 87136620480 in words is "eighty-seven billion, one hundred thirty-six million, six hundred twenty thousand, four hundred eighty".