5101400717856 has 576 divisors, whose sum is σ = 17004521963520. Its totient is φ = 1494798520320.

The previous prime is 5101400717789. The next prime is 5101400717879. The reversal of 5101400717856 is 6587170041015.

5101400717856 is a `hidden beast` number, since 5 + 101 + 400 + 71 + 78 + 5 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178312705 + ... + 178341311.

It is an arithmetic number, because the mean of its divisors is an integer number (29521739520).

Almost surely, 2^{5101400717856} 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 5101400717856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8502260981760).

5101400717856 is an abundant number, since it is smaller than the sum of its proper divisors (11903121245664).

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

5101400717856 is a wasteful number, since it uses less digits than its factorization.

5101400717856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28739 (or 28719 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 5101400717856 in words is "five trillion, one hundred one billion, four hundred million, seven hundred seventeen thousand, eight hundred fifty-six".