5007570529752 has 320 divisors, whose sum is σ = 16089523137600. Its totient is φ = 1425389322240.

The previous prime is 5007570529669. The next prime is 5007570529799. The reversal of 5007570529752 is 2579250757005.

It is a super-2 number, since 2×5007570529752² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2139072102 + ... + 2139074442.

It is an arithmetic number, because the mean of its divisors is an integer number (50279759805).

Almost surely, 2^{5007570529752} 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 5007570529752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8044761568800).

5007570529752 is an abundant number, since it is smaller than the sum of its proper divisors (11081952607848).

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

5007570529752 is a wasteful number, since it uses less digits than its factorization.

5007570529752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3928 (or 3915 counting only the distinct ones).

The product of its (nonzero) digits is 7717500, while the sum is 54.

The spelling of 5007570529752 in words is "five trillion, seven billion, five hundred seventy million, five hundred twenty-nine thousand, seven hundred fifty-two".