11295120380544 has 1280 divisors, whose sum is σ = 45306672364800. Its totient is φ = 2697657384960.

The previous prime is 11295120380539. The next prime is 11295120380561. The reversal of 11295120380544 is 44508302159211.

11295120380544 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 5 + 1 + 20 + 3 + 80 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11295120380544.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2874805972 + ... + 2874809900.

It is an arithmetic number, because the mean of its divisors is an integer number (35395837785).

Almost surely, 2^{11295120380544} is an apocalyptic number.

11295120380544 is a gapful number since it is divisible by the number (14) 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 11295120380544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22653336182400).

11295120380544 is an abundant number, since it is smaller than the sum of its proper divisors (34011551984256).

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

11295120380544 is a wasteful number, since it uses less digits than its factorization.

11295120380544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4263 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 11295120380544 in words is "eleven trillion, two hundred ninety-five billion, one hundred twenty million, three hundred eighty thousand, five hundred forty-four".