27913763752875 has 384 divisors, whose sum is σ = 69387547686912. Its totient is φ = 10418751360000.

The previous prime is 27913763752873. The next prime is 27913763752907. The reversal of 27913763752875 is 57825736731972.

27913763752875 is a `hidden beast` number, since 2 + 7 + 9 + 1 + 37 + 63 + 7 + 528 + 7 + 5 = 666.

It is not a de Polignac number, because 27913763752875 - 2¹ = 27913763752873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27913763752873) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41331660 + ... + 42001590.

It is an arithmetic number, because the mean of its divisors is an integer number (180696738768).

Almost surely, 2^{27913763752875} is an apocalyptic number.

27913763752875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27913763752875 is an abundant number, since it is smaller than the sum of its proper divisors (41473783934037).

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

27913763752875 is a wasteful number, since it uses less digits than its factorization.

27913763752875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670020 (or 670007 counting only the distinct ones).

The product of its digits is 933508800, while the sum is 72.

The spelling of 27913763752875 in words is "twenty-seven trillion, nine hundred thirteen billion, seven hundred sixty-three million, seven hundred fifty-two thousand, eight hundred seventy-five".