5959334400 has 120 divisors (see below), whose sum is σ = 19686415584. Its totient is φ = 1589145600.

The previous prime is 5959334393. The next prime is 5959334413. The reversal of 5959334400 is 44339595.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39196 + ... + 115995.

Almost surely, 2^5959334400 is an apocalyptic number.

5959334400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5959334400 is an abundant number, since it is smaller than the sum of its proper divisors (13727081184).

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

5959334400 is a wasteful number, since it uses less digits than its factorization.

5959334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155222 (or 155201 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The square root of 5959334400 is about 77196.7253191481. The cubic root of 5959334400 is about 1813.0060443528.

The spelling of 5959334400 in words is "five billion, nine hundred fifty-nine million, three hundred thirty-four thousand, four hundred".