5957713920 has 512 divisors, whose sum is σ = 21742940160. Its totient is φ = 1384120320.

The previous prime is 5957713877. The next prime is 5957713933. The reversal of 5957713920 is 293177595.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5957713920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192184305 + ... + 192184335.

It is an arithmetic number, because the mean of its divisors is an integer number (42466680).

Almost surely, 2^5957713920 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 5957713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10871470080).

5957713920 is an abundant number, since it is smaller than the sum of its proper divisors (15785226240).

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

5957713920 is a wasteful number, since it uses less digits than its factorization.

5957713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 48.

The square root of 5957713920 is about 77186.2288235408. The cubic root of 5957713920 is about 1812.8416967834.

The spelling of 5957713920 in words is "five billion, nine hundred fifty-seven million, seven hundred thirteen thousand, nine hundred twenty".