5079656000 has 168 divisors, whose sum is σ = 13019138808. Its totient is φ = 1961856000.

The previous prime is 5079655991. The next prime is 5079656003. The reversal of 5079656000 is 6569705.

It can be written as a sum of positive squares in 4 ways, for example, as 1098304 + 5078557696 = 1048^2 + 71264^2 .

It is not an unprimeable number, because it can be changed into a prime (5079656003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38775935 + ... + 38776065.

Almost surely, 2^5079656000 is an apocalyptic number.

5079656000 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 5079656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6509569404).

5079656000 is an abundant number, since it is smaller than the sum of its proper divisors (7939482808).

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

5079656000 is an equidigital number, since it uses as much as digits as its factorization.

5079656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 38.

The square root of 5079656000 is about 71271.7054657737. The cubic root of 5079656000 is about 1719.0088033424.

The spelling of 5079656000 in words is "five billion, seventy-nine million, six hundred fifty-six thousand".