5179749120 has 1008 divisors, whose sum is σ = 23270302272. Its totient is φ = 1074954240.

The previous prime is 5179749097. The next prime is 5179749143. The reversal of 5179749120 is 219479715.

5179749120 is a `hidden beast` number, since 51 + 7 + 97 + 491 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (5179749097) and next prime (5179749143).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×5179749120² = 53659601892281548800, 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 111 ways as a sum of consecutive naturals, for example, 84913890 + ... + 84913950.

Almost surely, 2^5179749120 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 5179749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11635151136).

5179749120 is an abundant number, since it is smaller than the sum of its proper divisors (18090553152).

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

5179749120 is an equidigital number, since it uses as much as digits as its factorization.

5179749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The square root of 5179749120 is about 71970.4739459176. The cubic root of 5179749120 is about 1730.2262971484.

The spelling of 5179749120 in words is "five billion, one hundred seventy-nine million, seven hundred forty-nine thousand, one hundred twenty".