12551458550400 has 6912 divisors, whose sum is σ = 66130017408000. Its totient is φ = 2286069350400.

The previous prime is 12551458550377. The next prime is 12551458550413. The reversal of 12551458550400 is 405585415521.

12551458550400 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 1 + 4 + 58 + 550 + 40 + 0 = 666.

It is a super-2 number, since 2×12551458550400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 212736585571 + ... + 212736585629.

It is an arithmetic number, because the mean of its divisors is an integer number (9567421500).

Almost surely, 2^{12551458550400} is an apocalyptic number.

12551458550400 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 12551458550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33065008704000).

12551458550400 is an abundant number, since it is smaller than the sum of its proper divisors (53578558857600).

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

12551458550400 is a wasteful number, since it uses less digits than its factorization.

12551458550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 800000, while the sum is 45.

The spelling of 12551458550400 in words is "twelve trillion, five hundred fifty-one billion, four hundred fifty-eight million, five hundred fifty thousand, four hundred".