27056975406048 has 720 divisors, whose sum is σ = 93648209220720. Its totient is φ = 7640364662784.

The previous prime is 27056975406031. The next prime is 27056975406073. The reversal of 27056975406048 is 84060457965072.

27056975406048 is a `hidden beast` number, since 2 + 7 + 0 + 569 + 7 + 5 + 4 + 0 + 60 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15141003811 + ... + 15141005597.

It is an arithmetic number, because the mean of its divisors is an integer number (130066957251).

Almost surely, 2^{27056975406048} is an apocalyptic number.

27056975406048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27056975406048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46824104610360).

27056975406048 is an abundant number, since it is smaller than the sum of its proper divisors (66591233814672).

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

27056975406048 is a wasteful number, since it uses less digits than its factorization.

27056975406048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 27056975406048 in words is "twenty-seven trillion, fifty-six billion, nine hundred seventy-five million, four hundred six thousand, forty-eight".