27152784888768 has 560 divisors, whose sum is σ = 100640079201024. Its totient is φ = 7032310824960.

The previous prime is 27152784888731. The next prime is 27152784888781. The reversal of 27152784888768 is 86788848725172.

27152784888768 is a `hidden beast` number, since 2 + 7 + 1 + 5 + 2 + 78 + 488 + 8 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 138413280 + ... + 138609312.

Almost surely, 2^{27152784888768} is an apocalyptic number.

27152784888768 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 27152784888768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50320039600512).

27152784888768 is an abundant number, since it is smaller than the sum of its proper divisors (73487294312256).

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

27152784888768 is a wasteful number, since it uses less digits than its factorization.

27152784888768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196422 (or 196403 counting only the distinct ones).

The product of its digits is 5394923520, while the sum is 81.

The spelling of 27152784888768 in words is "twenty-seven trillion, one hundred fifty-two billion, seven hundred eighty-four million, eight hundred eighty-eight thousand, seven hundred sixty-eight".