27456257136 has 240 divisors, whose sum is σ = 90569314304. Its totient is φ = 7013952000.

The previous prime is 27456257113. The next prime is 27456257141. The reversal of 27456257136 is 63175265472.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2474481 + ... + 2485551.

Almost surely, 2^27456257136 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 27456257136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45284657152).

27456257136 is an abundant number, since it is smaller than the sum of its proper divisors (63113057168).

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

27456257136 is a wasteful number, since it uses less digits than its factorization.

27456257136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11172 (or 11155 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 48.

The spelling of 27456257136 in words is "twenty-seven billion, four hundred fifty-six million, two hundred fifty-seven thousand, one hundred thirty-six".