11753057772 has 96 divisors (see below), whose sum is σ = 32130067200. Its totient is φ = 3705077376.

The previous prime is 11753057741. The next prime is 11753057779. The reversal of 11753057772 is 27775035711.

11753057772 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 3 + 0 + 577 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (11753057779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1261443 + ... + 1270725.

It is an arithmetic number, because the mean of its divisors is an integer number (334688200).

Almost surely, 2^11753057772 is an apocalyptic number.

11753057772 is a gapful number since it is divisible by the number (12) 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 11753057772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16065033600).

11753057772 is an abundant number, since it is smaller than the sum of its proper divisors (20377009428).

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

11753057772 is a wasteful number, since it uses less digits than its factorization.

11753057772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9932 (or 9924 counting only the distinct ones).

The product of its (nonzero) digits is 360150, while the sum is 45.

The spelling of 11753057772 in words is "eleven billion, seven hundred fifty-three million, fifty-seven thousand, seven hundred seventy-two".