85546252264 has 64 divisors (see below), whose sum is σ = 179791752960. Its totient is φ = 37816554240.

The previous prime is 85546252249. The next prime is 85546252271. The reversal of 85546252264 is 46225264558.

It is a super-2 number, since 2×85546252264² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9493249 + ... + 9502255.

It is an arithmetic number, because the mean of its divisors is an integer number (2809246140).

Almost surely, 2^85546252264 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 85546252264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89895876480).

85546252264 is an abundant number, since it is smaller than the sum of its proper divisors (94245500696).

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

85546252264 is a wasteful number, since it uses less digits than its factorization.

85546252264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11978 (or 11974 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 49.

The spelling of 85546252264 in words is "eighty-five billion, five hundred forty-six million, two hundred fifty-two thousand, two hundred sixty-four".