5079372012900 has 216 divisors, whose sum is σ = 16797686025120. Its totient is φ = 1280244372480.

The previous prime is 5079372012889. The next prime is 5079372012907. The reversal of 5079372012900 is 92102739705.

5079372012900 is a `hidden beast` number, since 507 + 9 + 37 + 20 + 1 + 2 + 90 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5079372012907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7061299 + ... + 7747301.

Almost surely, 2^{5079372012900} is an apocalyptic number.

5079372012900 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 5079372012900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8398843012560).

5079372012900 is an abundant number, since it is smaller than the sum of its proper divisors (11718314012220).

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

5079372012900 is a wasteful number, since it uses less digits than its factorization.

5079372012900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686475 (or 686465 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 5079372012900 in words is "five trillion, seventy-nine billion, three hundred seventy-two million, twelve thousand, nine hundred".