87347538432 has 800 divisors, whose sum is σ = 344374208640. Its totient is φ = 21339832320.

The previous prime is 87347538409. The next prime is 87347538463. The reversal of 87347538432 is 23483574378.

87347538432 is a `hidden beast` number, since 8 + 73 + 4 + 7 + 538 + 4 + 32 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54286044 + ... + 54287652.

Almost surely, 2^87347538432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87347538432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172187104320).

87347538432 is an abundant number, since it is smaller than the sum of its proper divisors (257026670208).

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

87347538432 is a wasteful number, since it uses less digits than its factorization.

87347538432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1649 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 87347538432 in words is "eighty-seven billion, three hundred forty-seven million, five hundred thirty-eight thousand, four hundred thirty-two".