27113654880 has 480 divisors, whose sum is σ = 107545040064. Its totient is φ = 6383038464.

The previous prime is 27113654849. The next prime is 27113654933. The reversal of 27113654880 is 8845631172.

27113654880 is a `hidden beast` number, since 2 + 71 + 1 + 36 + 548 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3871542 + ... + 3878538.

Almost surely, 2^27113654880 is an apocalyptic number.

27113654880 is a gapful number since it is divisible by the number (20) 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 27113654880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53772520032).

27113654880 is an abundant number, since it is smaller than the sum of its proper divisors (80431385184).

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

27113654880 is a wasteful number, since it uses less digits than its factorization.

27113654880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7060 (or 7043 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 27113654880 in words is "twenty-seven billion, one hundred thirteen million, six hundred fifty-four thousand, eight hundred eighty".