5079983731200 has 3840 divisors, whose sum is σ = 24063316992000. Its totient is φ = 1023356436480.

The previous prime is 5079983731153. The next prime is 5079983731211. The reversal of 5079983731200 is 21373899705.

5079983731200 is a `hidden beast` number, since 507 + 9 + 9 + 8 + 3 + 7 + 3 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 49320230349 + ... + 49320230451.

It is an arithmetic number, because the mean of its divisors is an integer number (6266488800).

Almost surely, 2^{5079983731200} is an apocalyptic number.

5079983731200 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 5079983731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12031658496000).

5079983731200 is an abundant number, since it is smaller than the sum of its proper divisors (18983333260800).

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

5079983731200 is a wasteful number, since it uses less digits than its factorization.

5079983731200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 5079983731200 in words is "five trillion, seventy-nine billion, nine hundred eighty-three million, seven hundred thirty-one thousand, two hundred".