281085012000 has 1536 divisors, whose sum is σ = 1192757529600. Its totient is φ = 63700992000.

The previous prime is 281085011993. The next prime is 281085012049. The reversal of 281085012000 is 210580182.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1093715872 + ... + 1093716128.

It is an arithmetic number, because the mean of its divisors is an integer number (776534850).

Almost surely, 2^281085012000 is an apocalyptic number.

281085012000 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 281085012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596378764800).

281085012000 is an abundant number, since it is smaller than the sum of its proper divisors (911672517600).

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

281085012000 is a wasteful number, since it uses less digits than its factorization.

281085012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

Adding to 281085012000 its reverse (210580182), we get a palindrome (281295592182).

The spelling of 281085012000 in words is "two hundred eighty-one billion, eighty-five million, twelve thousand".