87817084416 has 400 divisors, whose sum is σ = 279135616320. Its totient is φ = 27486535680.

The previous prime is 87817084373. The next prime is 87817084427. The reversal of 87817084416 is 61448071878.

87817084416 is a `hidden beast` number, since 8 + 7 + 81 + 70 + 84 + 416 = 666.

It is a super-2 number, since 2×87817084416² (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 39 ways as a sum of consecutive naturals, for example, 203751721 + ... + 203752151.

Almost surely, 2^87817084416 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 87817084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139567808160).

87817084416 is an abundant number, since it is smaller than the sum of its proper divisors (191318531904).

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

87817084416 is an frugal number, since it uses more digits than its factorization.

87817084416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 87817084416 in words is "eighty-seven billion, eight hundred seventeen million, eighty-four thousand, four hundred sixteen".