11366000815104 has 1408 divisors, whose sum is σ = 40171454668800. Its totient is φ = 3142688440320.

The previous prime is 11366000815087. The next prime is 11366000815163. The reversal of 11366000815104 is 40151800066311.

It is a happy number.

11366000815104 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 60 + 0 + 0 + 81 + 510 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11220138502 + ... + 11220139514.

Almost surely, 2^{11366000815104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11366000815104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20085727334400).

11366000815104 is an abundant number, since it is smaller than the sum of its proper divisors (28805453853696).

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

11366000815104 is a wasteful number, since it uses less digits than its factorization.

11366000815104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11366000815104 in words is "eleven trillion, three hundred sixty-six billion, eight hundred fifteen thousand, one hundred four".