12551867596800 has 2052 divisors, whose sum is σ = 54050764286376. Its totient is φ = 2774532096000.

The previous prime is 12551867596787. The next prime is 12551867596817. The reversal of 12551867596800 is 869576815521.

12551867596800 is a `hidden beast` number, since 1 + 2 + 5 + 518 + 6 + 7 + 59 + 68 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 124275916750 + ... + 124275916850.

Almost surely, 2^{12551867596800} is an apocalyptic number.

12551867596800 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 12551867596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27025382143188).

12551867596800 is an abundant number, since it is smaller than the sum of its proper divisors (41498896689576).

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

12551867596800 is an equidigital number, since it uses as much as digits as its factorization.

12551867596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 63.

The spelling of 12551867596800 in words is "twelve trillion, five hundred fifty-one billion, eight hundred sixty-seven million, five hundred ninety-six thousand, eight hundred".