12531013550400 has 336 divisors, whose sum is σ = 41395404453120. Its totient is φ = 3318661324800.

The previous prime is 12531013550383. The next prime is 12531013550477. The reversal of 12531013550400 is 405531013521.

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 47 ways as a sum of consecutive naturals, for example, 412338406 + ... + 412368794.

Almost surely, 2^{12531013550400} is an apocalyptic number.

12531013550400 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 12531013550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20697702226560).

12531013550400 is an abundant number, since it is smaller than the sum of its proper divisors (28864390902720).

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

12531013550400 is a wasteful number, since it uses less digits than its factorization.

12531013550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31002 (or 30987 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 12531013550400 its reverse (405531013521), we get a palindrome (12936544563921).

The spelling of 12531013550400 in words is "twelve trillion, five hundred thirty-one billion, thirteen million, five hundred fifty thousand, four hundred".