11240570880 has 960 divisors, whose sum is σ = 50623428240. Its totient is φ = 2335703040.

The previous prime is 11240570863. The next prime is 11240570899. The reversal of 11240570880 is 8807504211.

11240570880 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 0 + 570 + 8 + 80 = 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 59 ways as a sum of consecutive naturals, for example, 1021870075 + ... + 1021870085.

Almost surely, 2^11240570880 is an apocalyptic number.

11240570880 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 11240570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25311714120).

11240570880 is an abundant number, since it is smaller than the sum of its proper divisors (39382857360).

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

11240570880 is an frugal number, since it uses more digits than its factorization.

11240570880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

Multiplying 11240570880 by its product of nonzero digits (17920), we get a square (201431030169600 = 14192640²).

11240570880 divided by its product of nonzero digits (17920) gives a square (627264 = 792²).

The spelling of 11240570880 in words is "eleven billion, two hundred forty million, five hundred seventy thousand, eight hundred eighty".