11242782720 has 960 divisors, whose sum is σ = 47561955840. Its totient is φ = 2491416576.

The previous prime is 11242782641. The next prime is 11242782751. The reversal of 11242782720 is 2728724211.

11242782720 is a `hidden beast` number, since 112 + 4 + 278 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 488816629 + ... + 488816651.

It is an arithmetic number, because the mean of its divisors is an integer number (49543704).

Almost surely, 2^11242782720 is an apocalyptic number.

11242782720 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 11242782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23780977920).

11242782720 is an abundant number, since it is smaller than the sum of its proper divisors (36319173120).

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

11242782720 is a wasteful number, since it uses less digits than its factorization.

11242782720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 11242782720 in words is "eleven billion, two hundred forty-two million, seven hundred eighty-two thousand, seven hundred twenty".