5119185960 has 512 divisors, whose sum is σ = 20749824000. Its totient is φ = 1096602624.

The previous prime is 5119185959. The next prime is 5119186001. The reversal of 5119185960 is 695819115.

5119185960 is a `hidden beast` number, since 51 + 1 + 9 + 1 + 8 + 596 + 0 = 666.

It is a super-2 number, since 2×5119185960² = 52412129786122243200, which contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 22551367 + ... + 22551593.

It is an arithmetic number, because the mean of its divisors is an integer number (40527000).

Almost surely, 2^5119185960 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 5119185960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10374912000).

5119185960 is an abundant number, since it is smaller than the sum of its proper divisors (15630638040).

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

5119185960 is a wasteful number, since it uses less digits than its factorization.

5119185960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 45.

The square root of 5119185960 is about 71548.4867764511. The cubic root of 5119185960 is about 1723.4564036417.

The spelling of 5119185960 in words is "five billion, one hundred nineteen million, one hundred eighty-five thousand, nine hundred sixty".