11825973744 has 360 divisors, whose sum is σ = 35962916976. Its totient is φ = 3342643200.

The previous prime is 11825973743. The next prime is 11825973751. The reversal of 11825973744 is 44737952811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11825973743) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 288438364 + ... + 288438404.

Almost surely, 2^11825973744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11825973744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17981458488).

11825973744 is an abundant number, since it is smaller than the sum of its proper divisors (24136943232).

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

11825973744 is a wasteful number, since it uses less digits than its factorization.

11825973744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 127 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 51.

The spelling of 11825973744 in words is "eleven billion, eight hundred twenty-five million, nine hundred seventy-three thousand, seven hundred forty-four".