27057275792064 has 224 divisors, whose sum is σ = 93123959040000. Its totient is φ = 7542097643520.

The previous prime is 27057275792021. The next prime is 27057275792081. The reversal of 27057275792064 is 46029757275072.

It is a happy number.

27057275792064 is a `hidden beast` number, since 2 + 7 + 0 + 57 + 2 + 7 + 579 + 2 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 27057275791992 and 27057275792010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26783064 + ... + 27774935.

It is an arithmetic number, because the mean of its divisors is an integer number (415731960000).

Almost surely, 2^{27057275792064} is an apocalyptic number.

27057275792064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27057275792064 is an abundant number, since it is smaller than the sum of its proper divisors (66066683247936).

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

27057275792064 is a wasteful number, since it uses less digits than its factorization.

27057275792064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54558068 (or 54558052 counting only the distinct ones).

The product of its (nonzero) digits is 103723200, while the sum is 63.

The spelling of 27057275792064 in words is "twenty-seven trillion, fifty-seven billion, two hundred seventy-five million, seven hundred ninety-two thousand, sixty-four".