1283835053280 has 768 divisors, whose sum is σ = 4686534236160. Its totient is φ = 294679756800.

The previous prime is 1283835053261. The next prime is 1283835053311. The reversal of 1283835053280 is 823505383821.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 994449435 + ... + 994450725.

It is an arithmetic number, because the mean of its divisors is an integer number (6102258120).

Almost surely, 2^{1283835053280} is an apocalyptic number.

1283835053280 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 1283835053280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343267118080).

1283835053280 is an abundant number, since it is smaller than the sum of its proper divisors (3402699182880).

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

1283835053280 is a wasteful number, since it uses less digits than its factorization.

1283835053280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 1283835053280 in words is "one trillion, two hundred eighty-three billion, eight hundred thirty-five million, fifty-three thousand, two hundred eighty".