27550036631268 has 120 divisors (see below), whose sum is σ = 72405640507200. Its totient is φ = 9134359502400.

The previous prime is 27550036631231. The next prime is 27550036631279. The reversal of 27550036631268 is 86213663005572.

27550036631268 is a `hidden beast` number, since 2 + 7 + 5 + 500 + 3 + 6 + 6 + 3 + 126 + 8 = 666.

It is a super-3 number, since 3×27550036631268³ (a number of 41 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 212770555 + ... + 212899997.

It is an arithmetic number, because the mean of its divisors is an integer number (603380337560).

Almost surely, 2^{27550036631268} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27550036631268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36202820253600).

27550036631268 is an abundant number, since it is smaller than the sum of its proper divisors (44855603875932).

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

27550036631268 is a wasteful number, since it uses less digits than its factorization.

27550036631268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132959 (or 132948 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 27550036631268 in words is "twenty-seven trillion, five hundred fifty billion, thirty-six million, six hundred thirty-one thousand, two hundred sixty-eight".