11298570240 has 256 divisors, whose sum is σ = 36640880640. Its totient is φ = 2972712960.

The previous prime is 11298570233. The next prime is 11298570251. The reversal of 11298570240 is 4207589211.

It is a tau number, because it is divible by the number of its divisors (256).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62422950 + ... + 62423130.

It is an arithmetic number, because the mean of its divisors is an integer number (143128440).

Almost surely, 2^11298570240 is an apocalyptic number.

11298570240 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 11298570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18320440320).

11298570240 is an abundant number, since it is smaller than the sum of its proper divisors (25342310400).

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

11298570240 is an equidigital number, since it uses as much as digits as its factorization.

11298570240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 11298570240 in words is "eleven billion, two hundred ninety-eight million, five hundred seventy thousand, two hundred forty".