283085704080 has 240 divisors, whose sum is σ = 1007161899120. Its totient is φ = 71010680832.

The previous prime is 283085704051. The next prime is 283085704091. The reversal of 283085704080 is 80407580382.

283085704080 is a `hidden beast` number, since 2 + 8 + 30 + 8 + 570 + 40 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2829814416 + 280255889664 = 53196^2 + 529392^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27767464 + ... + 27777656.

It is an arithmetic number, because the mean of its divisors is an integer number (4196507913).

Almost surely, 2^283085704080 is an apocalyptic number.

283085704080 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 283085704080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503580949560).

283085704080 is an abundant number, since it is smaller than the sum of its proper divisors (724076195040).

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

283085704080 is a wasteful number, since it uses less digits than its factorization.

283085704080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12498 (or 12489 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 283085704080 in words is "two hundred eighty-three billion, eighty-five million, seven hundred four thousand, eighty".