3152596648960 has 264 divisors, whose sum is σ = 8673995268288. Its totient is φ = 1096550400000.

The previous prime is 3152596648939. The next prime is 3152596648979. The reversal of 3152596648960 is 698466952513.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 3152596648892 and 3152596648901.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14138335 + ... + 14359585.

Almost surely, 2^{3152596648960} 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 3152596648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336997634144).

3152596648960 is an abundant number, since it is smaller than the sum of its proper divisors (5521398619328).

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

3152596648960 is a wasteful number, since it uses less digits than its factorization.

3152596648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221321 (or 221292 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 64.

The spelling of 3152596648960 in words is "three trillion, one hundred fifty-two billion, five hundred ninety-six million, six hundred forty-eight thousand, nine hundred sixty".