85656268800 has 780 divisors, whose sum is σ = 331823962800. Its totient is φ = 21799895040.

The previous prime is 85656268783. The next prime is 85656268801. The reversal of 85656268800 is 886265658.

85656268800 is a `hidden beast` number, since 8 + 5 + 6 + 5 + 626 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85656268801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 190770976 + ... + 190771424.

Almost surely, 2^85656268800 is an apocalyptic number.

85656268800 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 85656268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165911981400).

85656268800 is an abundant number, since it is smaller than the sum of its proper divisors (246167694000).

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

85656268800 is a wasteful number, since it uses less digits than its factorization.

85656268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 85656268800 in words is "eighty-five billion, six hundred fifty-six million, two hundred sixty-eight thousand, eight hundred".