5009570972928 has 288 divisors, whose sum is σ = 15092446320000. Its totient is φ = 1638593445888.

The previous prime is 5009570972909. The next prime is 5009570972947. The reversal of 5009570972928 is 8292790759005.

5009570972928 is a `hidden beast` number, since 50 + 0 + 9 + 570 + 9 + 7 + 2 + 9 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5009570972909) and next prime (5009570972947).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232031958 + ... + 232053546.

It is an arithmetic number, because the mean of its divisors is an integer number (52404327500).

Almost surely, 2^{5009570972928} 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 5009570972928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7546223160000).

5009570972928 is an abundant number, since it is smaller than the sum of its proper divisors (10082875347072).

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

5009570972928 is a wasteful number, since it uses less digits than its factorization.

5009570972928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22242 (or 22222 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 5009570972928 in words is "five trillion, nine billion, five hundred seventy million, nine hundred seventy-two thousand, nine hundred twenty-eight".