5616301973256 has 192 divisors, whose sum is σ = 16413286344000. Its totient is φ = 1724678106624.

The previous prime is 5616301973221. The next prime is 5616301973273. The reversal of 5616301973256 is 6523791036165.

5616301973256 is a `hidden beast` number, since 5 + 6 + 1 + 6 + 301 + 9 + 7 + 325 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1394659515 + ... + 1394663541.

It is an arithmetic number, because the mean of its divisors is an integer number (85485866375).

Almost surely, 2^{5616301973256} 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 5616301973256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8206643172000).

5616301973256 is an abundant number, since it is smaller than the sum of its proper divisors (10796984370744).

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

5616301973256 is a wasteful number, since it uses less digits than its factorization.

5616301973256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6628 (or 6621 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 5616301973256 in words is "five trillion, six hundred sixteen billion, three hundred one million, nine hundred seventy-three thousand, two hundred fifty-six".