5201627194764 has 864 divisors, whose sum is σ = 18956435097600. Its totient is φ = 1178918737920.

The previous prime is 5201627194759. The next prime is 5201627194789. The reversal of 5201627194764 is 4674917261025.

5201627194764 is a `hidden beast` number, since 5 + 2 + 0 + 1 + 627 + 1 + 9 + 4 + 7 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5201627194764.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2957149317 + ... + 2957151075.

It is an arithmetic number, because the mean of its divisors is an integer number (21940318400).

Almost surely, 2^{5201627194764} 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 5201627194764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9478217548800).

5201627194764 is an abundant number, since it is smaller than the sum of its proper divisors (13754807902836).

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

5201627194764 is a wasteful number, since it uses less digits than its factorization.

5201627194764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 5201627194764 in words is "five trillion, two hundred one billion, six hundred twenty-seven million, one hundred ninety-four thousand, seven hundred sixty-four".