11257753122 has 288 divisors, whose sum is σ = 31693648896. Its totient is φ = 2825824320.

The previous prime is 11257753097. The next prime is 11257753123. The reversal of 11257753122 is 22135775211.

11257753122 is a `hidden beast` number, since 1 + 12 + 577 + 53 + 1 + 22 = 666.

Its product of digits (29400) is a multiple of the sum of its prime divisors (300).

It is not an unprimeable number, because it can be changed into a prime (11257753123) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 105212593 + ... + 105212699.

It is an arithmetic number, because the mean of its divisors is an integer number (110047392).

Almost surely, 2^11257753122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11257753122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15846824448).

11257753122 is an abundant number, since it is smaller than the sum of its proper divisors (20435895774).

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

11257753122 is a wasteful number, since it uses less digits than its factorization.

11257753122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 300 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The spelling of 11257753122 in words is "eleven billion, two hundred fifty-seven million, seven hundred fifty-three thousand, one hundred twenty-two".