5957114118400 has 81 divisors (see below), whose sum is σ = 14745271551031. Its totient is φ = 2382767544320.

The previous prime is 5957114118353. The next prime is 5957114118413. The reversal of 5957114118400 is 48114117595.

It is a happy number.

The square root of 5957114118400 is 2440720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3672711610624 + 2284402507776 = 1916432^2 + 1511424^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 195242346 + ... + 195272854.

Almost surely, 2^{5957114118400} is an apocalyptic number.

5957114118400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5957114118400 is the 2440720-th square number.

It is an amenable number.

5957114118400 is an abundant number, since it is smaller than the sum of its proper divisors (8788157432631).

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

5957114118400 is an frugal number, since it uses more digits than its factorization.

5957114118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61044 (or 30516 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 46.

The spelling of 5957114118400 in words is "five trillion, nine hundred fifty-seven billion, one hundred fourteen million, one hundred eighteen thousand, four hundred".