85537275264 has 1536 divisors, whose sum is σ = 342171648000. Its totient is φ = 20692869120.

The previous prime is 85537275247. The next prime is 85537275301. The reversal of 85537275264 is 46257273558.

85537275264 is a `hidden beast` number, since 8 + 5 + 5 + 372 + 7 + 5 + 264 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 85537275264.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 2759266929 + ... + 2759266959.

It is an arithmetic number, because the mean of its divisors is an integer number (222768000).

Almost surely, 2^85537275264 is an apocalyptic number.

85537275264 is a gapful number since it is divisible by the number (84) 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 85537275264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171085824000).

85537275264 is an abundant number, since it is smaller than the sum of its proper divisors (256634372736).

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

85537275264 is a wasteful number, since it uses less digits than its factorization.

85537275264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its digits is 14112000, while the sum is 54.

The spelling of 85537275264 in words is "eighty-five billion, five hundred thirty-seven million, two hundred seventy-five thousand, two hundred sixty-four".