27135806544 has 240 divisors, whose sum is σ = 97846376320. Its totient is φ = 7048166400.

The previous prime is 27135806539. The next prime is 27135806573. The reversal of 27135806544 is 44560853172.

27135806544 is a `hidden beast` number, since 2 + 7 + 1 + 3 + 580 + 65 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 27135806544.

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, 328824 + ... + 402984.

Almost surely, 2^27135806544 is an apocalyptic number.

27135806544 is a gapful number since it is divisible by the number (24) 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 27135806544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48923188160).

27135806544 is an abundant number, since it is smaller than the sum of its proper divisors (70710569776).

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

27135806544 is a wasteful number, since it uses less digits than its factorization.

27135806544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74207 (or 74184 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 27135806544 in words is "twenty-seven billion, one hundred thirty-five million, eight hundred six thousand, five hundred forty-four".