85700947752 has 160 divisors (see below), whose sum is σ = 274959432000. Its totient is φ = 24430139136.

The previous prime is 85700947751. The next prime is 85700947763. The reversal of 85700947752 is 25774900758.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (85700947751) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1988124 + ... + 2030772.

It is an arithmetic number, because the mean of its divisors is an integer number (1718496450).

Almost surely, 2^85700947752 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 85700947752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137479716000).

85700947752 is an abundant number, since it is smaller than the sum of its proper divisors (189258484248).

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

85700947752 is a wasteful number, since it uses less digits than its factorization.

85700947752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43117 (or 43104 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 85700947752 in words is "eighty-five billion, seven hundred million, nine hundred forty-seven thousand, seven hundred fifty-two".