85976160480 has 840 divisors, whose sum is σ = 356431261032. Its totient is φ = 19587681792.

The previous prime is 85976160419. The next prime is 85976160497. The reversal of 85976160480 is 8406167958.

85976160480 is a `hidden beast` number, since 8 + 597 + 6 + 1 + 6 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 280052487 + ... + 280052793.

Almost surely, 2^85976160480 is an apocalyptic number.

85976160480 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 85976160480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178215630516).

85976160480 is an abundant number, since it is smaller than the sum of its proper divisors (270455100552).

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

85976160480 is an frugal number, since it uses more digits than its factorization.

85976160480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 85976160480 in words is "eighty-five billion, nine hundred seventy-six million, one hundred sixty thousand, four hundred eighty".