5759071920 has 240 divisors, whose sum is σ = 23075889120. Its totient is φ = 1316335104.

The previous prime is 5759071859. The next prime is 5759071933. The reversal of 5759071920 is 291709575.

5759071920 is a `hidden beast` number, since 57 + 590 + 7 + 1 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 78634 + ... + 133046.

It is an arithmetic number, because the mean of its divisors is an integer number (96149538).

Almost surely, 2^5759071920 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 5759071920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11537944560).

5759071920 is an abundant number, since it is smaller than the sum of its proper divisors (17316817200).

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

5759071920 is a wasteful number, since it uses less digits than its factorization.

5759071920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54449 (or 54430 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The square root of 5759071920 is about 75888.5493338751. The cubic root of 5759071920 is about 1792.4656179396.

The spelling of 5759071920 in words is "five billion, seven hundred fifty-nine million, seventy-one thousand, nine hundred twenty".