85763532800 has 576 divisors, whose sum is σ = 246781080000. Its totient is φ = 29268377600.

The previous prime is 85763532797. The next prime is 85763532817. The reversal of 85763532800 is 823536758.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 963635156 + ... + 963635244.

It is an arithmetic number, because the mean of its divisors is an integer number (428439375).

Almost surely, 2^85763532800 is an apocalyptic number.

85763532800 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 85763532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123390540000).

85763532800 is an abundant number, since it is smaller than the sum of its proper divisors (161017547200).

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

85763532800 is a wasteful number, since it uses less digits than its factorization.

85763532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 47.

The spelling of 85763532800 in words is "eighty-five billion, seven hundred sixty-three million, five hundred thirty-two thousand, eight hundred".