5179680000 has 720 divisors, whose sum is σ = 21072004800. Its totient is φ = 1244160000.

The previous prime is 5179679933. The next prime is 5179680013. The reversal of 5179680000 is 869715.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47519946 + ... + 47520054.

Almost surely, 2^5179680000 is an apocalyptic number.

5179680000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5179680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10536002400).

5179680000 is an abundant number, since it is smaller than the sum of its proper divisors (15892324800).

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

5179680000 is a wasteful number, since it uses less digits than its factorization.

5179680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 5179680000 is about 71969.9937473945. The cubic root of 5179680000 is about 1730.2186009086.

The spelling of 5179680000 in words is "five billion, one hundred seventy-nine million, six hundred eighty thousand".