11563514240000 has 660 divisors, whose sum is σ = 31038384818760. Its totient is φ = 4303257600000.

The previous prime is 11563514239973. The next prime is 11563514240023. The reversal of 11563514240000 is 4241536511.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 18680959691 + ... + 18680960309.

It is an arithmetic number, because the mean of its divisors is an integer number (47027855786).

Almost surely, 2^{11563514240000} is an apocalyptic number.

11563514240000 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 11563514240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15519192409380).

11563514240000 is an abundant number, since it is smaller than the sum of its proper divisors (19474870578760).

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

11563514240000 is an equidigital number, since it uses as much as digits as its factorization.

11563514240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 11563514240000 its reverse (4241536511), we get a palindrome (11567755776511).

The spelling of 11563514240000 in words is "eleven trillion, five hundred sixty-three billion, five hundred fourteen million, two hundred forty thousand".