5080971624192 has 864 divisors, whose sum is σ = 16692683454720. Its totient is φ = 1476748247040.

The previous prime is 5080971624187. The next prime is 5080971624301. The reversal of 5080971624192 is 2914261790805.

It is a happy number.

5080971624192 is a `hidden beast` number, since 5 + 0 + 8 + 0 + 9 + 7 + 1 + 624 + 1 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9024816103 + ... + 9024816665.

It is an arithmetic number, because the mean of its divisors is an integer number (19320235480).

Almost surely, 2^{5080971624192} 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 5080971624192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8346341727360).

5080971624192 is an abundant number, since it is smaller than the sum of its proper divisors (11611711830528).

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

5080971624192 is a wasteful number, since it uses less digits than its factorization.

5080971624192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 5080971624192 in words is "five trillion, eighty billion, nine hundred seventy-one million, six hundred twenty-four thousand, one hundred ninety-two".