85788907660800 has 1200 divisors, whose sum is σ = 329332880788560. Its totient is φ = 22029475184640.

The previous prime is 85788907660667. The next prime is 85788907660823. The reversal of 85788907660800 is 806670988758.

85788907660800 is a `hidden beast` number, since 8 + 5 + 7 + 8 + 8 + 9 + 0 + 7 + 6 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11936674807 + ... + 11936681993.

Almost surely, 2^{85788907660800} is an apocalyptic number.

85788907660800 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 85788907660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164666440394280).

85788907660800 is an abundant number, since it is smaller than the sum of its proper divisors (243543973127760).

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

85788907660800 is a wasteful number, since it uses less digits than its factorization.

85788907660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7653 (or 7623 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 85788907660800 in words is "eighty-five trillion, seven hundred eighty-eight billion, nine hundred seven million, six hundred sixty thousand, eight hundred".