27868854214656 has 1680 divisors, whose sum is σ = 108921088975776. Its totient is φ = 6913341259776.

The previous prime is 27868854214637. The next prime is 27868854214661. The reversal of 27868854214656 is 65641245886872.

It is a happy number.

27868854214656 is a `hidden beast` number, since 2 + 7 + 8 + 6 + 8 + 8 + 542 + 14 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17450753250 + ... + 17450754846.

Almost surely, 2^{27868854214656} is an apocalyptic number.

27868854214656 is a gapful number since it is divisible by the number (26) 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 27868854214656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54460544487888).

27868854214656 is an abundant number, since it is smaller than the sum of its proper divisors (81052234761120).

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

27868854214656 is a wasteful number, since it uses less digits than its factorization.

27868854214656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1639 counting only the distinct ones).

The product of its digits is 1238630400, while the sum is 72.

The spelling of 27868854214656 in words is "twenty-seven trillion, eight hundred sixty-eight billion, eight hundred fifty-four million, two hundred fourteen thousand, six hundred fifty-six".