27431813680128 has 1056 divisors, whose sum is σ = 99272559196160. Its totient is φ = 7425345945600.

The previous prime is 27431813680031. The next prime is 27431813680151. The reversal of 27431813680128 is 82108631813472.

27431813680128 is a `hidden beast` number, since 2 + 7 + 431 + 8 + 1 + 3 + 6 + 80 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1348189251 + ... + 1348209597.

Almost surely, 2^{27431813680128} 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 27431813680128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49636279598080).

27431813680128 is an abundant number, since it is smaller than the sum of its proper divisors (71840745516032).

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

27431813680128 is a wasteful number, since it uses less digits than its factorization.

27431813680128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20442 (or 20407 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 27431813680128 in words is "twenty-seven trillion, four hundred thirty-one billion, eight hundred thirteen million, six hundred eighty thousand, one hundred twenty-eight".