12859282550400 has 1152 divisors, whose sum is σ = 50659644033600. Its totient is φ = 2847611289600.

The previous prime is 12859282550363. The next prime is 12859282550461. The reversal of 12859282550400 is 405528295821.

It is a happy number.

12859282550400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12859282550400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1464773211 + ... + 1464781989.

Almost surely, 2^{12859282550400} is an apocalyptic number.

12859282550400 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 12859282550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25329822016800).

12859282550400 is an abundant number, since it is smaller than the sum of its proper divisors (37800361483200).

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

12859282550400 is a wasteful number, since it uses less digits than its factorization.

12859282550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8938 (or 8910 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 51.

The spelling of 12859282550400 in words is "twelve trillion, eight hundred fifty-nine billion, two hundred eighty-two million, five hundred fifty thousand, four hundred".