1283585761920 has 2048 divisors, whose sum is σ = 5522876006400. Its totient is φ = 245882880000.

The previous prime is 1283585761867. The next prime is 1283585761921. The reversal of 1283585761920 is 291675853821.

It is not an unprimeable number, because it can be changed into a prime (1283585761921) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12708769870 + ... + 12708769970.

It is an arithmetic number, because the mean of its divisors is an integer number (2696716800).

Almost surely, 2^{1283585761920} is an apocalyptic number.

1283585761920 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 1283585761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761438003200).

1283585761920 is an abundant number, since it is smaller than the sum of its proper divisors (4239290244480).

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

1283585761920 is a wasteful number, since it uses less digits than its factorization.

1283585761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 57.

The spelling of 1283585761920 in words is "one trillion, two hundred eighty-three billion, five hundred eighty-five million, seven hundred sixty-one thousand, nine hundred twenty".