27863555626368 has 384 divisors, whose sum is σ = 105845330672640. Its totient is φ = 6811564032000.

The previous prime is 27863555626363. The next prime is 27863555626451. The reversal of 27863555626368 is 86362655536872.

27863555626368 is a `hidden beast` number, since 2 + 7 + 8 + 6 + 3 + 5 + 556 + 2 + 6 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 27863555626296 and 27863555626305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27863555626363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7730808 + ... + 10746743.

It is an arithmetic number, because the mean of its divisors is an integer number (275638881960).

Almost surely, 2^{27863555626368} is an apocalyptic number.

27863555626368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27863555626368 is an abundant number, since it is smaller than the sum of its proper divisors (77981775046272).

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

27863555626368 is a wasteful number, since it uses less digits than its factorization.

27863555626368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18477606 (or 18477591 counting only the distinct ones).

The product of its digits is 2612736000, while the sum is 72.

The spelling of 27863555626368 in words is "twenty-seven trillion, eight hundred sixty-three billion, five hundred fifty-five million, six hundred twenty-six thousand, three hundred sixty-eight".