11215368000 has 448 divisors, whose sum is σ = 41557651200. Its totient is φ = 2961100800.

The previous prime is 11215367987. The next prime is 11215368007. The reversal of 11215368000 is 86351211.

11215368000 is a `hidden beast` number, since 1 + 121 + 536 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11215368007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29591811 + ... + 29592189.

Almost surely, 2^11215368000 is an apocalyptic number.

11215368000 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 11215368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20778825600).

11215368000 is an abundant number, since it is smaller than the sum of its proper divisors (30342283200).

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

11215368000 is a wasteful number, since it uses less digits than its factorization.

11215368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 11215368000 in words is "eleven billion, two hundred fifteen million, three hundred sixty-eight thousand".