5996179800 has 288 divisors, whose sum is σ = 21842664480. Its totient is φ = 1465344000.

The previous prime is 5996179799. The next prime is 5996179811. The reversal of 5996179800 is 89716995.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3532552 + ... + 3534248.

It is an arithmetic number, because the mean of its divisors is an integer number (75842585).

Almost surely, 2^5996179800 is an apocalyptic number.

5996179800 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 5996179800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10921332240).

5996179800 is an abundant number, since it is smaller than the sum of its proper divisors (15846484680).

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

5996179800 is a wasteful number, since it uses less digits than its factorization.

5996179800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 5996179800 is about 77435.0037127913. The cubic root of 5996179800 is about 1816.7348573941.

The spelling of 5996179800 in words is "five billion, nine hundred ninety-six million, one hundred seventy-nine thousand, eight hundred".