11725111296 has 204 divisors, whose sum is σ = 34378350448. Its totient is φ = 3850371072.

The previous prime is 11725111289. The next prime is 11725111309. The reversal of 11725111296 is 69211152711.

11725111296 is a `hidden beast` number, since 1 + 17 + 2 + 511 + 129 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11725111296.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60751776 + ... + 60751968.

Almost surely, 2^11725111296 is an apocalyptic number.

11725111296 is a gapful number since it is divisible by the number (16) 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 11725111296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17189175224).

11725111296 is an abundant number, since it is smaller than the sum of its proper divisors (22653239152).

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

11725111296 is an equidigital number, since it uses as much as digits as its factorization.

11725111296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 301 counting only the distinct ones).

The product of its digits is 7560, while the sum is 36.

The spelling of 11725111296 in words is "eleven billion, seven hundred twenty-five million, one hundred eleven thousand, two hundred ninety-six".