11254618080 has 576 divisors, whose sum is σ = 42268262400. Its totient is φ = 2717245440.

The previous prime is 11254618051. The next prime is 11254618181. The reversal of 11254618080 is 8081645211.

11254618080 is a `hidden beast` number, since 11 + 25 + 4 + 618 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88618977 + ... + 88619103.

It is an arithmetic number, because the mean of its divisors is an integer number (73382400).

Almost surely, 2^11254618080 is an apocalyptic number.

11254618080 is a gapful number since it is divisible by the number (10) 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 11254618080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21134131200).

11254618080 is an abundant number, since it is smaller than the sum of its proper divisors (31013644320).

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

11254618080 is a wasteful number, since it uses less digits than its factorization.

11254618080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 11254618080 in words is "eleven billion, two hundred fifty-four million, six hundred eighteen thousand, eighty".