11215249920 has 240 divisors, whose sum is σ = 44390998080. Its totient is φ = 2563448832.

The previous prime is 11215249883. The next prime is 11215250017. The reversal of 11215249920 is 2994251211.

11215249920 is a `hidden beast` number, since 1 + 1 + 21 + 524 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126511 + ... + 196049.

It is an arithmetic number, because the mean of its divisors is an integer number (184962492).

Almost surely, 2^11215249920 is an apocalyptic number.

11215249920 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 11215249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22195499040).

11215249920 is an abundant number, since it is smaller than the sum of its proper divisors (33175748160).

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

11215249920 is an equidigital number, since it uses as much as digits as its factorization.

11215249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69575 (or 69556 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11215249920 in words is "eleven billion, two hundred fifteen million, two hundred forty-nine thousand, nine hundred twenty".