12538609600 has 168 divisors, whose sum is σ = 33739019136. Its totient is φ = 4548480000.

The previous prime is 12538609579. The next prime is 12538609667. The reversal of 12538609600 is 690683521.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 12161085 + ... + 12162115.

Almost surely, 2^12538609600 is an apocalyptic number.

12538609600 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 12538609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16869509568).

12538609600 is an abundant number, since it is smaller than the sum of its proper divisors (21200409536).

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

12538609600 is a wasteful number, since it uses less digits than its factorization.

12538609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 12538609600 in words is "twelve billion, five hundred thirty-eight million, six hundred nine thousand, six hundred".