11360511240 has 256 divisors, whose sum is σ = 37856851200. Its totient is φ = 2725632000.

The previous prime is 11360511133. The next prime is 11360511263. The reversal of 11360511240 is 4211506311.

It is a happy number.

It is a super-2 number, since 2×11360511240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11360511240.

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 63 ways as a sum of consecutive naturals, for example, 10808715 + ... + 10809765.

It is an arithmetic number, because the mean of its divisors is an integer number (147878325).

Almost surely, 2^11360511240 is an apocalyptic number.

11360511240 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 11360511240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18928425600).

11360511240 is an abundant number, since it is smaller than the sum of its proper divisors (26496339960).

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

11360511240 is a wasteful number, since it uses less digits than its factorization.

11360511240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 11360511240 in words is "eleven billion, three hundred sixty million, five hundred eleven thousand, two hundred forty".