5957354880 has 384 divisors, whose sum is σ = 22074081120. Its totient is φ = 1475149824.

The previous prime is 5957354861. The next prime is 5957354917. The reversal of 5957354880 is 884537595.

5957354880 is a `hidden beast` number, since 5 + 95 + 7 + 3 + 548 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8126994 + ... + 8127726.

Almost surely, 2^5957354880 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 5957354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11037040560).

5957354880 is an abundant number, since it is smaller than the sum of its proper divisors (16116726240).

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

5957354880 is a wasteful number, since it uses less digits than its factorization.

5957354880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The square root of 5957354880 is about 77183.9029850137. The cubic root of 5957354880 is about 1812.8052792488.

The spelling of 5957354880 in words is "five billion, nine hundred fifty-seven million, three hundred fifty-four thousand, eight hundred eighty".