3512516656000 has 512 divisors, whose sum is σ = 9928324224000. Its totient is φ = 1224115200000.

The previous prime is 3512516655961. The next prime is 3512516656003. The reversal of 3512516656000 is 6566152153.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3512516656003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 709453525 + ... + 709458475.

It is an arithmetic number, because the mean of its divisors is an integer number (19391258250).

Almost surely, 2^{3512516656000} 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 3512516656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4964162112000).

3512516656000 is an abundant number, since it is smaller than the sum of its proper divisors (6415807568000).

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

3512516656000 is a wasteful number, since it uses less digits than its factorization.

3512516656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5159 (or 5137 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

The spelling of 3512516656000 in words is "three trillion, five hundred twelve billion, five hundred sixteen million, six hundred fifty-six thousand".