27315720713790 has 256 divisors, whose sum is σ = 75817082880000. Its totient is φ = 6990817933440.

The previous prime is 27315720713789. The next prime is 27315720713909. The reversal of 27315720713790 is 9731702751372.

27315720713790 is a `hidden beast` number, since 2 + 7 + 31 + 572 + 0 + 7 + 1 + 37 + 9 + 0 = 666.

It is a super-2 number, since 2×27315720713790² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 511321701 + ... + 511375119.

It is an arithmetic number, because the mean of its divisors is an integer number (296160480000).

Almost surely, 2^{27315720713790} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27315720713790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37908541440000).

27315720713790 is an abundant number, since it is smaller than the sum of its proper divisors (48501362166210).

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

27315720713790 is a wasteful number, since it uses less digits than its factorization.

27315720713790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53972 (or 53966 counting only the distinct ones).

The product of its (nonzero) digits is 3889620, while the sum is 54.

The spelling of 27315720713790 in words is "twenty-seven trillion, three hundred fifteen billion, seven hundred twenty million, seven hundred thirteen thousand, seven hundred ninety".