5079689521920 has 1440 divisors, whose sum is σ = 20547187229184. Its totient is φ = 1189616025600.

The previous prime is 5079689521913. The next prime is 5079689522023. The reversal of 5079689521920 is 291259869705.

5079689521920 is a `hidden beast` number, since 5 + 0 + 7 + 9 + 6 + 89 + 521 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2548764444 + ... + 2548766436.

Almost surely, 2^{5079689521920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5079689521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10273593614592).

5079689521920 is an abundant number, since it is smaller than the sum of its proper divisors (15467497707264).

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

5079689521920 is a wasteful number, since it uses less digits than its factorization.

5079689521920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 5079689521920 in words is "five trillion, seventy-nine billion, six hundred eighty-nine million, five hundred twenty-one thousand, nine hundred twenty".