5161574880 has 768 divisors, whose sum is σ = 22992076800. Its totient is φ = 1050347520.

The previous prime is 5161574879. The next prime is 5161574917. The reversal of 5161574880 is 884751615.

5161574880 is a `hidden beast` number, since 5 + 16 + 157 + 488 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19625629 + ... + 19625891.

It is an arithmetic number, because the mean of its divisors is an integer number (29937600).

Almost surely, 2^5161574880 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 5161574880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11496038400).

5161574880 is an abundant number, since it is smaller than the sum of its proper divisors (17830501920).

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

5161574880 is a wasteful number, since it uses less digits than its factorization.

5161574880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 5161574880 is about 71844.1012192372. The cubic root of 5161574880 is about 1728.2003047125.

The spelling of 5161574880 in words is "five billion, one hundred sixty-one million, five hundred seventy-four thousand, eight hundred eighty".