5957804160 has 1152 divisors, whose sum is σ = 27753710400. Its totient is φ = 1161216000.

The previous prime is 5957804143. The next prime is 5957804213. The reversal of 5957804160 is 614087595.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58988110 + ... + 58988210.

Almost surely, 2^5957804160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5957804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13876855200).

5957804160 is an abundant number, since it is smaller than the sum of its proper divisors (21795906240).

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

5957804160 is a wasteful number, since it uses less digits than its factorization.

5957804160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5957804160 is about 77186.8133815615. The cubic root of 5957804160 is about 1812.8508496235.

The spelling of 5957804160 in words is "five billion, nine hundred fifty-seven million, eight hundred four thousand, one hundred sixty".