12550346468400 has 240 divisors, whose sum is σ = 44465627357984. Its totient is φ = 3005820887040.

The previous prime is 12550346468393. The next prime is 12550346468431. The reversal of 12550346468400 is 486464305521.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×12550346468400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12550346468400.

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, 10294549 + ... + 11448948.

Almost surely, 2^{12550346468400} is an apocalyptic number.

12550346468400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12550346468400 is an abundant number, since it is smaller than the sum of its proper divisors (31915280889584).

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

12550346468400 is a wasteful number, since it uses less digits than its factorization.

12550346468400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21743568 (or 21743557 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 12550346468400 in words is "twelve trillion, five hundred fifty billion, three hundred forty-six million, four hundred sixty-eight thousand, four hundred".