12883494357600 has 1152 divisors, whose sum is σ = 45770980469760. Its totient is φ = 3137551073280.

The previous prime is 12883494357553. The next prime is 12883494357647. The reversal of 12883494357600 is 675349438821.

12883494357600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12883494357553) and next prime (12883494357647).

It is a super-2 number, since 2×12883494357600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55293967084 + ... + 55293967316.

It is an arithmetic number, because the mean of its divisors is an integer number (39731753880).

It is a 1-persistent number, because it is pandigital, but 2⋅12883494357600 = 25766988715200 is not.

Almost surely, 2^{12883494357600} is an apocalyptic number.

12883494357600 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 12883494357600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22885490234880).

12883494357600 is an abundant number, since it is smaller than the sum of its proper divisors (32887486112160).

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

12883494357600 is a wasteful number, since it uses less digits than its factorization.

12883494357600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 12883494357600 in words is "twelve trillion, eight hundred eighty-three billion, four hundred ninety-four million, three hundred fifty-seven thousand, six hundred".