11296441185120 has 768 divisors, whose sum is σ = 48701695150080. Its totient is φ = 2381460922368.

The previous prime is 11296441185097. The next prime is 11296441185157. The reversal of 11296441185120 is 2158114469211.

11296441185120 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 6 + 441 + 1 + 85 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 504361762 + ... + 504384158.

It is an arithmetic number, because the mean of its divisors is an integer number (63413665560).

Almost surely, 2^{11296441185120} is an apocalyptic number.

11296441185120 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 11296441185120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24350847575040).

11296441185120 is an abundant number, since it is smaller than the sum of its proper divisors (37405253964960).

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

11296441185120 is a wasteful number, since it uses less digits than its factorization.

11296441185120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23724 (or 23710 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 11296441185120 in words is "eleven trillion, two hundred ninety-six billion, four hundred forty-one million, one hundred eighty-five thousand, one hundred twenty".