85337691264 has 960 divisors, whose sum is σ = 321764085720. Its totient is φ = 22295347200.

The previous prime is 85337691211. The next prime is 85337691277. The reversal of 85337691264 is 46219673358.

85337691264 is a `hidden beast` number, since 8 + 5 + 3 + 376 + 9 + 1 + 264 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72705729600 + 12631961664 = 269640^2 + 112392^2 .

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 85337691264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 354098184 + ... + 354098424.

Almost surely, 2^85337691264 is an apocalyptic number.

85337691264 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 85337691264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160882042860).

85337691264 is an abundant number, since it is smaller than the sum of its proper divisors (236426394456).

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

85337691264 is a wasteful number, since it uses less digits than its factorization.

85337691264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 311 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 85337691264 in words is "eighty-five billion, three hundred thirty-seven million, six hundred ninety-one thousand, two hundred sixty-four".