12509145792 has 896 divisors, whose sum is σ = 47191818240. Its totient is φ = 3193344000.

The previous prime is 12509145757. The next prime is 12509145809. The reversal of 12509145792 is 29754190521.

12509145792 is a `hidden beast` number, since 1 + 2 + 509 + 1 + 4 + 57 + 92 = 666.

It is a super-2 number, since 2×12509145792² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 176185117 + ... + 176185187.

It is an arithmetic number, because the mean of its divisors is an integer number (52669440).

Almost surely, 2^12509145792 is an apocalyptic number.

12509145792 is a gapful number since it is divisible by the number (12) 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 12509145792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23595909120).

12509145792 is an abundant number, since it is smaller than the sum of its proper divisors (34682672448).

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

12509145792 is a wasteful number, since it uses less digits than its factorization.

12509145792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 12509145792 in words is "twelve billion, five hundred nine million, one hundred forty-five thousand, seven hundred ninety-two".