12505941504 has 360 divisors, whose sum is σ = 42492858408. Its totient is φ = 3530096640.

The previous prime is 12505941499. The next prime is 12505941521. The reversal of 12505941504 is 40514950521.

12505941504 is a `hidden beast` number, since 1 + 2 + 50 + 594 + 15 + 0 + 4 = 666.

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

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 35 ways as a sum of consecutive naturals, for example, 21901539 + ... + 21902109.

Almost surely, 2^12505941504 is an apocalyptic number.

12505941504 is a gapful number since it is divisible by the number (14) 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 12505941504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21246429204).

12505941504 is an abundant number, since it is smaller than the sum of its proper divisors (29986916904).

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

12505941504 is an equidigital number, since it uses as much as digits as its factorization.

12505941504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 680 counting only the distinct ones).

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

The spelling of 12505941504 in words is "twelve billion, five hundred five million, nine hundred forty-one thousand, five hundred four".