5985878976 has 504 divisors, whose sum is σ = 22772071296. Its totient is φ = 1460183040.

The previous prime is 5985878929. The next prime is 5985879019. The reversal of 5985878976 is 6798785895.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12817495 + ... + 12817961.

Almost surely, 2^5985878976 is an apocalyptic number.

5985878976 is a gapful number since it is divisible by the number (56) 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 5985878976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11386035648).

5985878976 is an abundant number, since it is smaller than the sum of its proper divisors (16786192320).

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

5985878976 is a wasteful number, since it uses less digits than its factorization.

5985878976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 507 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 72.

The square root of 5985878976 is about 77368.4624120190. The cubic root of 5985878976 is about 1815.6939395068.

The spelling of 5985878976 in words is "five billion, nine hundred eighty-five million, eight hundred seventy-eight thousand, nine hundred seventy-six".