5160775680 has 624 divisors, whose sum is σ = 19964284704. Its totient is φ = 1274019840.

The previous prime is 5160775667. The next prime is 5160775709. The reversal of 5160775680 is 865770615.

5160775680 is a `hidden beast` number, since 5 + 16 + 0 + 77 + 568 + 0 = 666.

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, 84602850 + ... + 84602910.

It is an arithmetic number, because the mean of its divisors is an integer number (31994046).

Almost surely, 2^5160775680 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 5160775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9982142352).

5160775680 is an abundant number, since it is smaller than the sum of its proper divisors (14803509024).

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

5160775680 is an equidigital number, since it uses as much as digits as its factorization.

5160775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 5160775680 is about 71838.5389606442. The cubic root of 5160775680 is about 1728.1111039674. Note that the first 4 decimals are identical.

The spelling of 5160775680 in words is "five billion, one hundred sixty million, seven hundred seventy-five thousand, six hundred eighty".