85913572800 has 336 divisors, whose sum is σ = 309864703104. Its totient is φ = 20666880000.

The previous prime is 85913572757. The next prime is 85913572817. The reversal of 85913572800 is 827531958.

It is a super-2 number, since 2×85913572800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 85913572800.

It is a congruent number.

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, 6910590 + ... + 6923010.

Almost surely, 2^85913572800 is an apocalyptic number.

85913572800 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 85913572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154932351552).

85913572800 is an abundant number, since it is smaller than the sum of its proper divisors (223951130304).

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

85913572800 is a wasteful number, since it uses less digits than its factorization.

85913572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12588 (or 12573 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 85913572800 in words is "eighty-five billion, nine hundred thirteen million, five hundred seventy-two thousand, eight hundred".