1283805895680 has 2376 divisors, whose sum is σ = 5887521529344. Its totient is φ = 257511260160.

The previous prime is 1283805895661. The next prime is 1283805895703. The reversal of 1283805895680 is 865985083821.

1283805895680 is a `hidden beast` number, since 12 + 8 + 3 + 8 + 0 + 58 + 9 + 568 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 10108707777 + ... + 10108707903.

Almost surely, 2^{1283805895680} is an apocalyptic number.

1283805895680 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 1283805895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943760764672).

1283805895680 is an abundant number, since it is smaller than the sum of its proper divisors (4603715633664).

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

1283805895680 is a wasteful number, since it uses less digits than its factorization.

1283805895680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 1283805895680 in words is "one trillion, two hundred eighty-three billion, eight hundred five million, eight hundred ninety-five thousand, six hundred eighty".