11259174723840 has 864 divisors, whose sum is σ = 44819013657600. Its totient is φ = 2590719344640.

The previous prime is 11259174723833. The next prime is 11259174723851. The reversal of 11259174723840 is 4832747195211.

It is a happy number.

11259174723840 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 91 + 7 + 472 + 3 + 84 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115300956 + ... + 115398564.

It is an arithmetic number, because the mean of its divisors is an integer number (51873858400).

Almost surely, 2^{11259174723840} is an apocalyptic number.

11259174723840 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 11259174723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22409506828800).

11259174723840 is an abundant number, since it is smaller than the sum of its proper divisors (33559838933760).

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

11259174723840 is a wasteful number, since it uses less digits than its factorization.

11259174723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97703 (or 97686 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 11259174723840 in words is "eleven trillion, two hundred fifty-nine billion, one hundred seventy-four million, seven hundred twenty-three thousand, eight hundred forty".