5100457328640 has 768 divisors, whose sum is σ = 18704024539200. Its totient is φ = 1282173566976.

The previous prime is 5100457328623. The next prime is 5100457328663. The reversal of 5100457328640 is 468237540015.

5100457328640 is a `hidden beast` number, since 5 + 10 + 0 + 4 + 573 + 2 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×5100457328640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 8601108184 + ... + 8601108776.

Almost surely, 2^{5100457328640} 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 5100457328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9352012269600).

5100457328640 is an abundant number, since it is smaller than the sum of its proper divisors (13603567210560).

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

5100457328640 is a wasteful number, since it uses less digits than its factorization.

5100457328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 5100457328640 in words is "five trillion, one hundred billion, four hundred fifty-seven million, three hundred twenty-eight thousand, six hundred forty".