85994956800 has 288 divisors, whose sum is σ = 315879782400. Its totient is φ = 22931619840.

The previous prime is 85994956799. The next prime is 85994956829. The reversal of 85994956800 is 865949958.

85994956800 is a `hidden beast` number, since 85 + 9 + 9 + 495 + 68 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1351297 + ... + 1413503.

It is an arithmetic number, because the mean of its divisors is an integer number (1096804800).

Almost surely, 2^85994956800 is an apocalyptic number.

85994956800 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 85994956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157939891200).

85994956800 is an abundant number, since it is smaller than the sum of its proper divisors (229884825600).

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

85994956800 is a wasteful number, since it uses less digits than its factorization.

85994956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62248 (or 62217 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 85994956800 in words is "eighty-five billion, nine hundred ninety-four million, nine hundred fifty-six thousand, eight hundred".