27360883162368 has 216 divisors, whose sum is σ = 90256924482816. Its totient is φ = 7808809881600.

The previous prime is 27360883162309. The next prime is 27360883162387. The reversal of 27360883162368 is 86326138806372.

27360883162368 is a `hidden beast` number, since 2 + 7 + 3 + 6 + 0 + 88 + 316 + 236 + 8 = 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 23 ways as a sum of consecutive naturals, for example, 13761498 + ... + 15623718.

Almost surely, 2^{27360883162368} is an apocalyptic number.

27360883162368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27360883162368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45128462241408).

27360883162368 is an abundant number, since it is smaller than the sum of its proper divisors (62896041320448).

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

27360883162368 is a wasteful number, since it uses less digits than its factorization.

27360883162368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863161 (or 1863144 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 27360883162368 in words is "twenty-seven trillion, three hundred sixty billion, eight hundred eighty-three million, one hundred sixty-two thousand, three hundred sixty-eight".