5056011657216 has 896 divisors, whose sum is σ = 17042514048000. Its totient is φ = 1469624352768.

The previous prime is 5056011657139. The next prime is 5056011657227. The reversal of 5056011657216 is 6127561106505.

It is a happy number.

5056011657216 is a `hidden beast` number, since 5 + 0 + 5 + 60 + 1 + 1 + 6 + 572 + 16 = 666.

It is a congruent 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, 5885926995 + ... + 5885927853.

It is an arithmetic number, because the mean of its divisors is an integer number (19020663000).

Almost surely, 2^{5056011657216} 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 5056011657216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8521257024000).

5056011657216 is an abundant number, since it is smaller than the sum of its proper divisors (11986502390784).

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

5056011657216 is a wasteful number, since it uses less digits than its factorization.

5056011657216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 5056011657216 in words is "five trillion, fifty-six billion, eleven million, six hundred fifty-seven thousand, two hundred sixteen".