27757345518 has 160 divisors (see below), whose sum is σ = 75013804800. Its totient is φ = 7494166656.

The previous prime is 27757345501. The next prime is 27757345529. The reversal of 27757345518 is 81554375772.

27757345518 is a `hidden beast` number, since 2 + 7 + 7 + 57 + 34 + 551 + 8 = 666.

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

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, 9845113 + ... + 9847931.

It is an arithmetic number, because the mean of its divisors is an integer number (468836280).

Almost surely, 2^27757345518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27757345518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37506902400).

27757345518 is an abundant number, since it is smaller than the sum of its proper divisors (47256459282).

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

27757345518 is a wasteful number, since it uses less digits than its factorization.

27757345518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3316 (or 3307 counting only the distinct ones).

The product of its digits is 8232000, while the sum is 54.

The spelling of 27757345518 in words is "twenty-seven billion, seven hundred fifty-seven million, three hundred forty-five thousand, five hundred eighteen".