11625807744 has 128 divisors (see below), whose sum is σ = 34575552000. Its totient is φ = 3845537280.

The previous prime is 11625807737. The next prime is 11625807749. The reversal of 11625807744 is 44770852611.

11625807744 is a `hidden beast` number, since 1 + 1 + 62 + 580 + 7 + 7 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 11625807744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11625807749) 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 15 ways as a sum of consecutive naturals, for example, 439897 + ... + 465575.

It is an arithmetic number, because the mean of its divisors is an integer number (270121500).

Almost surely, 2^11625807744 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 11625807744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17287776000).

11625807744 is an abundant number, since it is smaller than the sum of its proper divisors (22949744256).

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

11625807744 is a wasteful number, since it uses less digits than its factorization.

11625807744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25833 (or 25815 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 11625807744 in words is "eleven billion, six hundred twenty-five million, eight hundred seven thousand, seven hundred forty-four".