87513858432 has 1024 divisors, whose sum is σ = 355825612800. Its totient is φ = 20437401600.

The previous prime is 87513858371. The next prime is 87513858449. The reversal of 87513858432 is 23485831578.

87513858432 is a `hidden beast` number, since 8 + 7 + 51 + 3 + 8 + 584 + 3 + 2 = 666.

It is a super-2 number, since 2×87513858432² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 141837388 + ... + 141838004.

It is an arithmetic number, because the mean of its divisors is an integer number (347485950).

Almost surely, 2^87513858432 is an apocalyptic number.

87513858432 is a gapful number since it is divisible by the number (82) 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 87513858432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177912806400).

87513858432 is an abundant number, since it is smaller than the sum of its proper divisors (268311754368).

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

87513858432 is a wasteful number, since it uses less digits than its factorization.

87513858432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 694 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 87513858432 in words is "eighty-seven billion, five hundred thirteen million, eight hundred fifty-eight thousand, four hundred thirty-two".