85046756667264 has 384 divisors, whose sum is σ = 296530427793600. Its totient is φ = 22839948214272.

The previous prime is 85046756667239. The next prime is 85046756667277. The reversal of 85046756667264 is 46276665764058.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 85046756667192 and 85046756667201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105017304 + ... + 105824040.

Almost surely, 2^{85046756667264} is an apocalyptic number.

85046756667264 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 85046756667264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148265213896800).

85046756667264 is an abundant number, since it is smaller than the sum of its proper divisors (211483671126336).

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

85046756667264 is a wasteful number, since it uses less digits than its factorization.

85046756667264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807550 (or 807535 counting only the distinct ones).

The product of its (nonzero) digits is 2438553600, while the sum is 72.

The spelling of 85046756667264 in words is "eighty-five trillion, forty-six billion, seven hundred fifty-six million, six hundred sixty-seven thousand, two hundred sixty-four".