1283720256000 has 1920 divisors, whose sum is σ = 5994891302400. Its totient is φ = 256396492800.

The previous prime is 1283720255929. The next prime is 1283720256001. The reversal of 1283720256000 is 6520273821.

1283720256000 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 7 + 20 + 25 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1283720256001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 995903356 + ... + 995904644.

It is an arithmetic number, because the mean of its divisors is an integer number (3122339220).

Almost surely, 2^{1283720256000} is an apocalyptic number.

1283720256000 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 1283720256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997445651200).

1283720256000 is an abundant number, since it is smaller than the sum of its proper divisors (4711171046400).

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

1283720256000 is a wasteful number, since it uses less digits than its factorization.

1283720256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1283720256000 in words is "one trillion, two hundred eighty-three billion, seven hundred twenty million, two hundred fifty-six thousand".