5879016000 has 672 divisors, whose sum is σ = 24750101376. Its totient is φ = 1313280000.

The previous prime is 5879015983. The next prime is 5879016047. The reversal of 5879016000 is 6109785.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10295715 + ... + 10296285.

It is an arithmetic number, because the mean of its divisors is an integer number (36830508).

Almost surely, 2^5879016000 is an apocalyptic number.

5879016000 is a gapful number since it is divisible by the number (50) 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 5879016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12375050688).

5879016000 is an abundant number, since it is smaller than the sum of its proper divisors (18871085376).

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

5879016000 is a wasteful number, since it uses less digits than its factorization.

5879016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 5879016000 is about 76674.7416037381. The cubic root of 5879016000 is about 1804.8240966490.

The spelling of 5879016000 in words is "five billion, eight hundred seventy-nine million, sixteen thousand".