27126311325696 has 520 divisors, whose sum is σ = 88687054377504. Its totient is φ = 8193487011840.

The previous prime is 27126311325661. The next prime is 27126311325697. The reversal of 27126311325696 is 69652311362172.

27126311325696 is a `hidden beast` number, since 2 + 7 + 1 + 2 + 63 + 1 + 13 + 2 + 569 + 6 = 666.

It is a super-2 number, since 2×27126311325696² (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 not an unprimeable number, because it can be changed into a prime (27126311325697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1142292895 + ... + 1142316641.

Almost surely, 2^{27126311325696} 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 27126311325696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44343527188752).

27126311325696 is an abundant number, since it is smaller than the sum of its proper divisors (61560743051808).

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

27126311325696 is a wasteful number, since it uses less digits than its factorization.

27126311325696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24107 (or 24076 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 27126311325696 in words is "twenty-seven trillion, one hundred twenty-six billion, three hundred eleven million, three hundred twenty-five thousand, six hundred ninety-six".