11215854720 has 384 divisors, whose sum is σ = 46869114240. Its totient is φ = 2412675072.

The previous prime is 11215854701. The next prime is 11215854751. The reversal of 11215854720 is 2745851211.

It is a happy number.

11215854720 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 585 + 4 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 677259 + ... + 693621.

It is an arithmetic number, because the mean of its divisors is an integer number (122054985).

Almost surely, 2^11215854720 is an apocalyptic number.

11215854720 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 11215854720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23434557120).

11215854720 is an abundant number, since it is smaller than the sum of its proper divisors (35653259520).

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

11215854720 is a wasteful number, since it uses less digits than its factorization.

11215854720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16412 (or 16397 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 11215854720 in words is "eleven billion, two hundred fifteen million, eight hundred fifty-four thousand, seven hundred twenty".