27287950876368 has 160 divisors (see below), whose sum is σ = 86764480051200. Its totient is φ = 7196590775808.

The previous prime is 27287950876297. The next prime is 27287950876427. The reversal of 27287950876368 is 86367805978272.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 27287950876293 and 27287950876302.

It is a congruent number.

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, 167907693 + ... + 168070131.

It is an arithmetic number, because the mean of its divisors is an integer number (542278000320).

Almost surely, 2^{27287950876368} is an apocalyptic number.

27287950876368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27287950876368 is an abundant number, since it is smaller than the sum of its proper divisors (59476529174832).

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

27287950876368 is a wasteful number, since it uses less digits than its factorization.

27287950876368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200929 (or 200923 counting only the distinct ones).

The product of its (nonzero) digits is 3413975040, while the sum is 78.

The spelling of 27287950876368 in words is "twenty-seven trillion, two hundred eighty-seven billion, nine hundred fifty million, eight hundred seventy-six thousand, three hundred sixty-eight".