5079448800 has 432 divisors, whose sum is σ = 19218457440. Its totient is φ = 1259089920.

The previous prime is 5079448799. The next prime is 5079448841. The reversal of 5079448800 is 88449705.

It is a super-2 number, since 2×5079448800² = 51601600223642880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6126786 + ... + 6127614.

It is an arithmetic number, because the mean of its divisors is an integer number (44487170).

Almost surely, 2^5079448800 is an apocalyptic number.

5079448800 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 5079448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9609228720).

5079448800 is an abundant number, since it is smaller than the sum of its proper divisors (14139008640).

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

5079448800 is a wasteful number, since it uses less digits than its factorization.

5079448800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 5079448800 is about 71270.2518586822. The cubic root of 5079448800 is about 1718.9854301411.

The spelling of 5079448800 in words is "five billion, seventy-nine million, four hundred forty-eight thousand, eight hundred".