87415536000 has 512 divisors, whose sum is σ = 322211635200. Its totient is φ = 20818944000.

The previous prime is 87415535993. The next prime is 87415536011. The reversal of 87415536000 is 63551478.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 87415536000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19341741 + ... + 19346259.

It is an arithmetic number, because the mean of its divisors is an integer number (629319600).

Almost surely, 2^87415536000 is an apocalyptic number.

87415536000 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 87415536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161105817600).

87415536000 is an abundant number, since it is smaller than the sum of its proper divisors (234796099200).

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

87415536000 is a wasteful number, since it uses less digits than its factorization.

87415536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595 (or 4573 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 87415536000 in words is "eighty-seven billion, four hundred fifteen million, five hundred thirty-six thousand".