5079110400 has 1728 divisors, whose sum is σ = 25548364800. Its totient is φ = 955514880.

The previous prime is 5079110389. The next prime is 5079110453. The reversal of 5079110400 is 40119705.

5079110400 is a `hidden beast` number, since 507 + 9 + 110 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 267321591 + ... + 267321609.

Almost surely, 2^5079110400 is an apocalyptic number.

5079110400 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 5079110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12774182400).

5079110400 is an abundant number, since it is smaller than the sum of its proper divisors (20469254400).

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

5079110400 is a wasteful number, since it uses less digits than its factorization.

5079110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 5079110400 is about 71267.8777570933. The cubic root of 5079110400 is about 1718.9472555536.

The spelling of 5079110400 in words is "five billion, seventy-nine million, one hundred ten thousand, four hundred".