85700656800 has 1152 divisors, whose sum is σ = 352679927040. Its totient is φ = 20155392000.

The previous prime is 85700656781. The next prime is 85700656807. The reversal of 85700656800 is 865600758.

85700656800 is a `hidden beast` number, since 85 + 7 + 0 + 0 + 6 + 568 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (85700656807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1173981564 + ... + 1173981636.

It is an arithmetic number, because the mean of its divisors is an integer number (306145770).

Almost surely, 2^85700656800 is an apocalyptic number.

85700656800 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 85700656800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176339963520).

85700656800 is an abundant number, since it is smaller than the sum of its proper divisors (266979270240).

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

85700656800 is a wasteful number, since it uses less digits than its factorization.

85700656800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 85700656800 in words is "eighty-five billion, seven hundred million, six hundred fifty-six thousand, eight hundred".