11215753920 has 336 divisors, whose sum is σ = 44215629120. Its totient is φ = 2556223488.

The previous prime is 11215753891. The next prime is 11215753933. The reversal of 11215753920 is 2935751211.

11215753920 is a `hidden beast` number, since 11 + 21 + 575 + 39 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 10260894 + ... + 10261986.

Almost surely, 2^11215753920 is an apocalyptic number.

11215753920 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 11215753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22107814560).

11215753920 is an abundant number, since it is smaller than the sum of its proper divisors (32999875200).

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

11215753920 is a wasteful number, since it uses less digits than its factorization.

11215753920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 11215753920 in words is "eleven billion, two hundred fifteen million, seven hundred fifty-three thousand, nine hundred twenty".