27816148265472 has 320 divisors, whose sum is σ = 99635578986240. Its totient is φ = 7479972200448.

The previous prime is 27816148265453. The next prime is 27816148265497. The reversal of 27816148265472 is 27456284161872.

27816148265472 is a `hidden beast` number, since 2 + 7 + 8 + 1 + 6 + 1 + 4 + 82 + 6 + 547 + 2 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6809413 + ... + 10099524.

It is an arithmetic number, because the mean of its divisors is an integer number (311361184332).

Almost surely, 2^{27816148265472} is an apocalyptic number.

It is an amenable number.

27816148265472 is an abundant number, since it is smaller than the sum of its proper divisors (71819430720768).

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

27816148265472 is a wasteful number, since it uses less digits than its factorization.

27816148265472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16908988 (or 16908966 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 63.

The spelling of 27816148265472 in words is "twenty-seven trillion, eight hundred sixteen billion, one hundred forty-eight million, two hundred sixty-five thousand, four hundred seventy-two".