85700884752 has 360 divisors, whose sum is σ = 292182299136. Its totient is φ = 23336957952.

The previous prime is 85700884751. The next prime is 85700884769. The reversal of 85700884752 is 25748800758.

It is a super-2 number, since 2×85700884752² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85700884751) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54690273 + ... + 54691839.

Almost surely, 2^85700884752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85700884752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146091149568).

85700884752 is an abundant number, since it is smaller than the sum of its proper divisors (206481414384).

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

85700884752 is a wasteful number, since it uses less digits than its factorization.

85700884752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 85700884752 in words is "eighty-five billion, seven hundred million, eight hundred eighty-four thousand, seven hundred fifty-two".