11157868800 has 432 divisors, whose sum is σ = 44070929280. Its totient is φ = 2745999360.

The previous prime is 11157868783. The next prime is 11157868819. The reversal of 11157868800 is 886875111.

11157868800 is a `hidden beast` number, since 1 + 11 + 578 + 68 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2243917 + ... + 2248883.

It is an arithmetic number, because the mean of its divisors is an integer number (102016040).

Almost surely, 2^11157868800 is an apocalyptic number.

11157868800 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 11157868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22035464640).

11157868800 is an abundant number, since it is smaller than the sum of its proper divisors (32913060480).

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

11157868800 is a wasteful number, since it uses less digits than its factorization.

11157868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5015 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 45.

The spelling of 11157868800 in words is "eleven billion, one hundred fifty-seven million, eight hundred sixty-eight thousand, eight hundred".