283145021760 has 224 divisors, whose sum is σ = 970421264640. Its totient is φ = 69731909632.

The previous prime is 283145021759. The next prime is 283145021777. The reversal of 283145021760 is 67120541382.

It is a super-2 number, since 2×283145021760² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419224 + ... + 861416.

Almost surely, 2^283145021760 is an apocalyptic number.

283145021760 is a gapful number since it is divisible by the number (20) 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 283145021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485210632320).

283145021760 is an abundant number, since it is smaller than the sum of its proper divisors (687276242880).

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

283145021760 is a wasteful number, since it uses less digits than its factorization.

283145021760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442265 (or 442255 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 283145021760 in words is "two hundred eighty-three billion, one hundred forty-five million, twenty-one thousand, seven hundred sixty".