85292576328960 has 3456 divisors, whose sum is σ = 423310361886720. Its totient is φ = 15977403187200.

The previous prime is 85292576328919. The next prime is 85292576328983. The reversal of 85292576328960 is 6982367529258.

85292576328960 is a `hidden beast` number, since 8 + 5 + 29 + 2 + 576 + 3 + 28 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10412958465 + ... + 10412966655.

It is an arithmetic number, because the mean of its divisors is an integer number (122485637120).

Almost surely, 2^{85292576328960} is an apocalyptic number.

85292576328960 is a gapful number since it is divisible by the number (80) 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 85292576328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211655180943360).

85292576328960 is an abundant number, since it is smaller than the sum of its proper divisors (338017785557760).

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

85292576328960 is a wasteful number, since it uses less digits than its factorization.

85292576328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8302 (or 8275 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 85292576328960 in words is "eighty-five trillion, two hundred ninety-two billion, five hundred seventy-six million, three hundred twenty-eight thousand, nine hundred sixty".