5101417702656 has 1728 divisors, whose sum is σ = 18102087843840. Its totient is φ = 1365590016000.

The previous prime is 5101417702643. The next prime is 5101417702669. The reversal of 5101417702656 is 6562077141015.

5101417702656 is a `hidden beast` number, since 5 + 101 + 417 + 70 + 2 + 65 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5101417702643) and next prime (5101417702669).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40168643265 + ... + 40168643391.

It is an arithmetic number, because the mean of its divisors is an integer number (10475745280).

Almost surely, 2^{5101417702656} 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 5101417702656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9051043921920).

5101417702656 is an abundant number, since it is smaller than the sum of its proper divisors (13000670141184).

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

5101417702656 is a wasteful number, since it uses less digits than its factorization.

5101417702656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 5101417702656 in words is "five trillion, one hundred one billion, four hundred seventeen million, seven hundred two thousand, six hundred fifty-six".