1283304072960 has 3024 divisors, whose sum is σ = 6161375517696. Its totient is φ = 252829237248.

The previous prime is 1283304072917. The next prime is 1283304072971. The reversal of 1283304072960 is 692704033821.

1283304072960 is a `hidden beast` number, since 1 + 28 + 330 + 4 + 0 + 7 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 10104756417 + ... + 10104756543.

It is an arithmetic number, because the mean of its divisors is an integer number (2037491904).

Almost surely, 2^{1283304072960} is an apocalyptic number.

1283304072960 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 1283304072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080687758848).

1283304072960 is an abundant number, since it is smaller than the sum of its proper divisors (4878071444736).

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

1283304072960 is a wasteful number, since it uses less digits than its factorization.

1283304072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1283304072960 in words is "one trillion, two hundred eighty-three billion, three hundred four million, seventy-two thousand, nine hundred sixty".