12534614400 has 768 divisors, whose sum is σ = 53230878720. Its totient is φ = 2515968000.

The previous prime is 12534614347. The next prime is 12534614419. The reversal of 12534614400 is 441643521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22914927 + ... + 22915473.

It is an arithmetic number, because the mean of its divisors is an integer number (69311040).

Almost surely, 2^12534614400 is an apocalyptic number.

12534614400 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 12534614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26615439360).

12534614400 is an abundant number, since it is smaller than the sum of its proper divisors (40696264320).

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

12534614400 is a wasteful number, since it uses less digits than its factorization.

12534614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 12534614400 in words is "twelve billion, five hundred thirty-four million, six hundred fourteen thousand, four hundred".