12507514400 has 144 divisors (see below), whose sum is σ = 31732109640. Its totient is φ = 4808294400.

The previous prime is 12507514399. The next prime is 12507514421. The reversal of 12507514400 is 441570521.

It can be written as a sum of positive squares in 12 ways, for example, as 3451327504 + 9056186896 = 58748^2 + 95164^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5590082 + ... + 5592318.

Almost surely, 2^12507514400 is an apocalyptic number.

12507514400 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 12507514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15866054820).

12507514400 is an abundant number, since it is smaller than the sum of its proper divisors (19224595240).

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

12507514400 is a wasteful number, since it uses less digits than its factorization.

12507514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The spelling of 12507514400 in words is "twelve billion, five hundred seven million, five hundred fourteen thousand, four hundred".