87535991304 has 128 divisors (see below), whose sum is σ = 248996035200. Its totient is φ = 28478822400.

The previous prime is 87535991239. The next prime is 87535991359. The reversal of 87535991304 is 40319953578.

87535991304 is a `hidden beast` number, since 8 + 7 + 535 + 99 + 13 + 0 + 4 = 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16725072 + ... + 16730304.

It is an arithmetic number, because the mean of its divisors is an integer number (1945281525).

Almost surely, 2^87535991304 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 87535991304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124498017600).

87535991304 is an abundant number, since it is smaller than the sum of its proper divisors (161460043896).

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

87535991304 is a wasteful number, since it uses less digits than its factorization.

87535991304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7092 (or 7082 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 87535991304 in words is "eighty-seven billion, five hundred thirty-five million, nine hundred ninety-one thousand, three hundred four".