85357992844800 has 2400 divisors, whose sum is σ = 360688312908000. Its totient is φ = 19762914263040.

The previous prime is 85357992844741. The next prime is 85357992844823. The reversal of 85357992844800 is 844829975358.

85357992844800 is a `hidden beast` number, since 8 + 5 + 3 + 57 + 9 + 92 + 8 + 4 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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 (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 38157349282 + ... + 38157351518.

It is an arithmetic number, because the mean of its divisors is an integer number (150286797045).

Almost surely, 2^{85357992844800} is an apocalyptic number.

85357992844800 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 85357992844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180344156454000).

85357992844800 is an abundant number, since it is smaller than the sum of its proper divisors (275330320063200).

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

85357992844800 is a wasteful number, since it uses less digits than its factorization.

85357992844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 85357992844800 in words is "eighty-five trillion, three hundred fifty-seven billion, nine hundred ninety-two million, eight hundred forty-four thousand, eight hundred".