27908256583152 has 240 divisors, whose sum is σ = 89998725712896. Its totient is φ = 7993907712000.

The previous prime is 27908256583043. The next prime is 27908256583157. The reversal of 27908256583152 is 25138565280972.

It is a happy number.

27908256583152 is a `hidden beast` number, since 27 + 9 + 0 + 8 + 25 + 6 + 583 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×27908256583152² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27908256583152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27908256583157) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4497249 + ... + 8720192.

Almost surely, 2^{27908256583152} is an apocalyptic number.

27908256583152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27908256583152 is an abundant number, since it is smaller than the sum of its proper divisors (62090469129744).

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

27908256583152 is a wasteful number, since it uses less digits than its factorization.

27908256583152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13217540 (or 13217531 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 27908256583152 in words is "twenty-seven trillion, nine hundred eight billion, two hundred fifty-six million, five hundred eighty-three thousand, one hundred fifty-two".