87912064800 has 288 divisors, whose sum is σ = 363370492800. Its totient is φ = 20094151680.

The previous prime is 87912064727. The next prime is 87912064817. The reversal of 87912064800 is 846021978.

87912064800 is a `hidden beast` number, since 87 + 91 + 2 + 0 + 6 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×87912064800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139515 + ... + 441914.

It is an arithmetic number, because the mean of its divisors is an integer number (1261703100).

Almost surely, 2^87912064800 is an apocalyptic number.

87912064800 is a gapful number since it is divisible by the number (80) 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 87912064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181685246400).

87912064800 is an abundant number, since it is smaller than the sum of its proper divisors (275458428000).

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

87912064800 is a wasteful number, since it uses less digits than its factorization.

87912064800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581465 (or 581446 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 87912064800 in words is "eighty-seven billion, nine hundred twelve million, sixty-four thousand, eight hundred".