5918404800 has 672 divisors, whose sum is σ = 24672706560. Its totient is φ = 1206374400.

The previous prime is 5918404783. The next prime is 5918404813. The reversal of 5918404800 is 84048195.

It is a tau number, because it is divible by the number of its divisors (672).

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, 24763081 + ... + 24763319.

Almost surely, 2^5918404800 is an apocalyptic number.

5918404800 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 5918404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12336353280).

5918404800 is an abundant number, since it is smaller than the sum of its proper divisors (18754301760).

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

5918404800 is a wasteful number, since it uses less digits than its factorization.

5918404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 5918404800 is about 76931.1692358825. The cubic root of 5918404800 is about 1808.8458399024.

The spelling of 5918404800 in words is "five billion, nine hundred eighteen million, four hundred four thousand, eight hundred".