87537431520 has 576 divisors, whose sum is σ = 378772692480. Its totient is φ = 17879961600.

The previous prime is 87537431507. The next prime is 87537431533. The reversal of 87537431520 is 2513473578.

87537431520 is a `hidden beast` number, since 8 + 7 + 53 + 74 + 3 + 1 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (87537431507) and next prime (87537431533).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6535230 + ... + 6548610.

It is an arithmetic number, because the mean of its divisors is an integer number (657591480).

Almost surely, 2^87537431520 is an apocalyptic number.

87537431520 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 87537431520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189386346240).

87537431520 is an abundant number, since it is smaller than the sum of its proper divisors (291235260960).

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

87537431520 is a wasteful number, since it uses less digits than its factorization.

87537431520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13479 (or 13468 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 87537431520 in words is "eighty-seven billion, five hundred thirty-seven million, four hundred thirty-one thousand, five hundred twenty".