12504465360 has 240 divisors, whose sum is σ = 44023307328. Its totient is φ = 3177216000.

The previous prime is 12504465343. The next prime is 12504465373. The reversal of 12504465360 is 6356440521.

12504465360 is a `hidden beast` number, since 1 + 2 + 504 + 46 + 53 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1264435 + ... + 1274285.

Almost surely, 2^12504465360 is an apocalyptic number.

12504465360 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 12504465360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22011653664).

12504465360 is an abundant number, since it is smaller than the sum of its proper divisors (31518841968).

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

12504465360 is a wasteful number, since it uses less digits than its factorization.

12504465360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9954 (or 9945 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 12504465360 in words is "twelve billion, five hundred four million, four hundred sixty-five thousand, three hundred sixty".