87172704460800 has 1008 divisors, whose sum is σ = 361381949360640. Its totient is φ = 19672741969920.

The previous prime is 87172704460799. The next prime is 87172704460823. The reversal of 87172704460800 is 806440727178.

87172704460800 is a `hidden beast` number, since 8 + 7 + 1 + 7 + 27 + 0 + 4 + 4 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1019246839 + ... + 1019332361.

Almost surely, 2^{87172704460800} is an apocalyptic number.

87172704460800 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 87172704460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180690974680320).

87172704460800 is an abundant number, since it is smaller than the sum of its proper divisors (274209244899840).

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

87172704460800 is a wasteful number, since it uses less digits than its factorization.

87172704460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85651 (or 85619 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 87172704460800 in words is "eighty-seven trillion, one hundred seventy-two billion, seven hundred four million, four hundred sixty thousand, eight hundred".