12551510400 has 768 divisors, whose sum is σ = 49976801280. Its totient is φ = 2727936000.

The previous prime is 12551510393. The next prime is 12551510449. The reversal of 12551510400 is 401515521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56284689 + ... + 56284911.

It is an arithmetic number, because the mean of its divisors is an integer number (65073960).

Almost surely, 2^12551510400 is an apocalyptic number.

12551510400 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 12551510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24988400640).

12551510400 is an abundant number, since it is smaller than the sum of its proper divisors (37425290880).

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

12551510400 is a wasteful number, since it uses less digits than its factorization.

12551510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The spelling of 12551510400 in words is "twelve billion, five hundred fifty-one million, five hundred ten thousand, four hundred".