5079292358400 has 864 divisors, whose sum is σ = 20129024368320. Its totient is φ = 1245858693120.

The previous prime is 5079292358303. The next prime is 5079292358401. The reversal of 5079292358400 is 48532929705.

5079292358400 is a `hidden beast` number, since 50 + 7 + 9 + 2 + 9 + 2 + 3 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5079292358401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 658191342 + ... + 658199058.

Almost surely, 2^{5079292358400} is an apocalyptic number.

5079292358400 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 5079292358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10064512184160).

5079292358400 is an abundant number, since it is smaller than the sum of its proper divisors (15049732009920).

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

5079292358400 is a wasteful number, since it uses less digits than its factorization.

5079292358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8058 (or 8033 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 5079292358400 in words is "five trillion, seventy-nine billion, two hundred ninety-two million, three hundred fifty-eight thousand, four hundred".