11425226772960 has 864 divisors, whose sum is σ = 52744963078080. Its totient is φ = 2191449047040.

The previous prime is 11425226772959. The next prime is 11425226773019. The reversal of 11425226772960 is 6927762252411.

It is a happy number.

11425226772960 is a `hidden beast` number, since 1 + 1 + 4 + 252 + 267 + 72 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11425226772897 and 11425226772906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15495556 + ... + 16216124.

It is an arithmetic number, because the mean of its divisors is an integer number (61047410970).

Almost surely, 2^{11425226772960} is an apocalyptic number.

11425226772960 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 11425226772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26372481539040).

11425226772960 is an abundant number, since it is smaller than the sum of its proper divisors (41319736305120).

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

11425226772960 is a wasteful number, since it uses less digits than its factorization.

11425226772960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720632 (or 720610 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 11425226772960 in words is "eleven trillion, four hundred twenty-five billion, two hundred twenty-six million, seven hundred seventy-two thousand, nine hundred sixty".