5807676580992 has 768 divisors, whose sum is σ = 21141797040000. Its totient is φ = 1503007211520.

The previous prime is 5807676580939. The next prime is 5807676581011. The reversal of 5807676580992 is 2990856767085.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5807676580992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165212634 + ... + 165247782.

Almost surely, 2^{5807676580992} is an apocalyptic number.

5807676580992 is a gapful number since it is divisible by the number (52) 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 5807676580992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10570898520000).

5807676580992 is an abundant number, since it is smaller than the sum of its proper divisors (15334120459008).

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

5807676580992 is a wasteful number, since it uses less digits than its factorization.

5807676580992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35269 (or 35254 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 5807676580992 in words is "five trillion, eight hundred seven billion, six hundred seventy-six million, five hundred eighty thousand, nine hundred ninety-two".