27056612353680 has 3840 divisors, whose sum is σ = 126882279014400. Its totient is φ = 5311169740800.

The previous prime is 27056612353669. The next prime is 27056612353697. The reversal of 27056612353680 is 8635321665072.

27056612353680 is a `hidden beast` number, since 2 + 7 + 0 + 5 + 6 + 6 + 1 + 23 + 536 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 81742031115 + ... + 81742031445.

It is an arithmetic number, because the mean of its divisors is an integer number (33042260160).

Almost surely, 2^{27056612353680} is an apocalyptic number.

27056612353680 is a gapful number since it is divisible by the number (20) 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 27056612353680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63441139507200).

27056612353680 is an abundant number, since it is smaller than the sum of its proper divisors (99825666660720).

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

27056612353680 is a wasteful number, since it uses less digits than its factorization.

27056612353680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 27056612353680 in words is "twenty-seven trillion, fifty-six billion, six hundred twelve million, three hundred fifty-three thousand, six hundred eighty".