85566412800 has 1152 divisors, whose sum is σ = 364139193600. Its totient is φ = 19464192000.

The previous prime is 85566412741. The next prime is 85566412831. The reversal of 85566412800 is 821466558.

85566412800 is a `hidden beast` number, since 8 + 5 + 566 + 4 + 1 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×85566412800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 258508635 + ... + 258508965.

It is an arithmetic number, because the mean of its divisors is an integer number (316093050).

Almost surely, 2^85566412800 is an apocalyptic number.

85566412800 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 85566412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182069596800).

85566412800 is an abundant number, since it is smaller than the sum of its proper divisors (278572780800).

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

85566412800 is a wasteful number, since it uses less digits than its factorization.

85566412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 85566412800 in words is "eighty-five billion, five hundred sixty-six million, four hundred twelve thousand, eight hundred".