1283143680000 has 3000 divisors, whose sum is σ = 6242572762272. Its totient is φ = 254803968000.

The previous prime is 1283143679981. The next prime is 1283143680001. The reversal of 1283143680000 is 863413821.

1283143680000 is a `hidden beast` number, since 1 + 283 + 14 + 368 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3000).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 20400 × 3120 × 20160.

It is not an unprimeable number, because it can be changed into a prime (1283143680001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 75479039992 + ... + 75479040008.

Almost surely, 2^{1283143680000} is an apocalyptic number.

1283143680000 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 1283143680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121286381136).

1283143680000 is an abundant number, since it is smaller than the sum of its proper divisors (4959429082272).

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

1283143680000 is an frugal number, since it uses more digits than its factorization.

1283143680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1283143680000 in words is "one trillion, two hundred eighty-three billion, one hundred forty-three million, six hundred eighty thousand".