5625216108960 has 384 divisors, whose sum is σ = 21054471782400. Its totient is φ = 1235332546560.

The previous prime is 5625216108907. The next prime is 5625216108973. The reversal of 5625216108960 is 698016125265.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14283976 + ... + 14672504.

It is an arithmetic number, because the mean of its divisors is an integer number (54829353600).

Almost surely, 2^{5625216108960} 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 5625216108960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10527235891200).

5625216108960 is an abundant number, since it is smaller than the sum of its proper divisors (15429255673440).

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

5625216108960 is a wasteful number, since it uses less digits than its factorization.

5625216108960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388724 (or 388716 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 5625216108960 in words is "five trillion, six hundred twenty-five billion, two hundred sixteen million, one hundred eight thousand, nine hundred sixty".