12505510944 has 96 divisors (see below), whose sum is σ = 36924914880. Its totient is φ = 4168480320.

The previous prime is 12505510943. The next prime is 12505510957. The reversal of 12505510944 is 44901550521.

12505510944 is a `hidden beast` number, since 1 + 2 + 50 + 5 + 510 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12505510944² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12505510899 and 12505510908.

It is not an unprimeable number, because it can be changed into a prime (12505510943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19362 + ... + 159329.

It is an arithmetic number, because the mean of its divisors is an integer number (384634530).

Almost surely, 2^12505510944 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 12505510944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18462457440).

12505510944 is an abundant number, since it is smaller than the sum of its proper divisors (24419403936).

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

12505510944 is an frugal number, since it uses more digits than its factorization.

12505510944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178722 (or 178696 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 12505510944 in words is "twelve billion, five hundred five million, five hundred ten thousand, nine hundred forty-four".