87711516400 has 60 divisors (see below), whose sum is σ = 221817827800. Its totient is φ = 33238045440.

The previous prime is 87711516383. The next prime is 87711516413. The reversal of 87711516400 is 461511778.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5762895 + ... + 5778094.

Almost surely, 2^87711516400 is an apocalyptic number.

87711516400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87711516400 is an abundant number, since it is smaller than the sum of its proper divisors (134106311400).

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

87711516400 is a wasteful number, since it uses less digits than its factorization.

87711516400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11541026 (or 11541015 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 40.

The spelling of 87711516400 in words is "eighty-seven billion, seven hundred eleven million, five hundred sixteen thousand, four hundred".