27894265203168 has 216 divisors, whose sum is σ = 99373320439848. Its totient is φ = 7356729235968.

The previous prime is 27894265203139. The next prime is 27894265203193. The reversal of 27894265203168 is 86130256249872.

27894265203168 is a `hidden beast` number, since 2 + 7 + 8 + 9 + 4 + 265 + 203 + 168 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75840946 + ... + 76207857.

It is an arithmetic number, because the mean of its divisors is an integer number (460061668703).

It is a 1-persistent number, because it is pandigital, but 2⋅27894265203168 = 55788530406336 is not.

Almost surely, 2^{27894265203168} is an apocalyptic number.

27894265203168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27894265203168 is an abundant number, since it is smaller than the sum of its proper divisors (71479055236680).

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

27894265203168 is a wasteful number, since it uses less digits than its factorization.

27894265203168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152048846 (or 152048828 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 27894265203168 in words is "twenty-seven trillion, eight hundred ninety-four billion, two hundred sixty-five million, two hundred three thousand, one hundred sixty-eight".