85976296560 has 960 divisors, whose sum is σ = 393094840320. Its totient is φ = 16919331840.

The previous prime is 85976296559. The next prime is 85976296577. The reversal of 85976296560 is 6569267958.

85976296560 is a `hidden beast` number, since 8 + 5 + 9 + 7 + 62 + 9 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28439209 + ... + 28442231.

It is an arithmetic number, because the mean of its divisors is an integer number (409473792).

Almost surely, 2^85976296560 is an apocalyptic number.

85976296560 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 85976296560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196547420160).

85976296560 is an abundant number, since it is smaller than the sum of its proper divisors (307118543760).

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

85976296560 is a wasteful number, since it uses less digits than its factorization.

85976296560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 85976296560 in words is "eighty-five billion, nine hundred seventy-six million, two hundred ninety-six thousand, five hundred sixty".