85811176452960 has 720 divisors, whose sum is σ = 360478327554576. Its totient is φ = 19157837948928.

The previous prime is 85811176452943. The next prime is 85811176452979. The reversal of 85811176452960 is 6925467111858.

85811176452960 is a `hidden beast` number, since 8 + 5 + 8 + 1 + 1 + 176 + 452 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25735474 + ... + 28877966.

Almost surely, 2^{85811176452960} is an apocalyptic number.

85811176452960 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 85811176452960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180239163777288).

85811176452960 is an abundant number, since it is smaller than the sum of its proper divisors (274667151101616).

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

85811176452960 is a wasteful number, since it uses less digits than its factorization.

85811176452960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142577 (or 3142553 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 85811176452960 in words is "eighty-five trillion, eight hundred eleven billion, one hundred seventy-six million, four hundred fifty-two thousand, nine hundred sixty".