11625845760 has 660 divisors, whose sum is σ = 44711466492. Its totient is φ = 2887778304.

The previous prime is 11625845717. The next prime is 11625845779. The reversal of 11625845760 is 6754852611.

11625845760 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 584 + 5 + 7 + 60 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 454201344 + 11171644416 = 21312^2 + 105696^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 59 ways as a sum of consecutive naturals, for example, 119854032 + ... + 119854128.

Almost surely, 2^11625845760 is an apocalyptic number.

11625845760 is a gapful number since it is divisible by the number (10) 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 11625845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22355733246).

11625845760 is an abundant number, since it is smaller than the sum of its proper divisors (33085620732).

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

11625845760 is an equidigital number, since it uses as much as digits as its factorization.

11625845760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 11625845760 in words is "eleven billion, six hundred twenty-five million, eight hundred forty-five thousand, seven hundred sixty".