7985708507520 has 640 divisors, whose sum is σ = 29651161320000. Its totient is φ = 2045681713152.

The previous prime is 7985708507507. The next prime is 7985708507593. The reversal of 7985708507520 is 257058075897.

7985708507520 is a `hidden beast` number, since 7 + 9 + 8 + 5 + 70 + 8 + 507 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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, 299155294 + ... + 299181986.

Almost surely, 2^{7985708507520} 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 7985708507520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14825580660000).

7985708507520 is an abundant number, since it is smaller than the sum of its proper divisors (21665452812480).

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

7985708507520 is a wasteful number, since it uses less digits than its factorization.

7985708507520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26952 (or 26931 counting only the distinct ones).

The product of its (nonzero) digits is 49392000, while the sum is 63.

The spelling of 7985708507520 in words is "seven trillion, nine hundred eighty-five billion, seven hundred eight million, five hundred seven thousand, five hundred twenty".