281056849920 has 2496 divisors, whose sum is σ = 1355391636480. Its totient is φ = 54499737600.

The previous prime is 281056849903. The next prime is 281056849921. The reversal of 281056849920 is 29948650182.

It is a happy number.

281056849920 is a `hidden beast` number, since 2 + 8 + 10 + 568 + 49 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (281056849921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6855045100 + ... + 6855045140.

Almost surely, 2^281056849920 is an apocalyptic number.

281056849920 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 281056849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677695818240).

281056849920 is an abundant number, since it is smaller than the sum of its proper divisors (1074334786560).

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

281056849920 is a wasteful number, since it uses less digits than its factorization.

281056849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 281056849920 in words is "two hundred eighty-one billion, fifty-six million, eight hundred forty-nine thousand, nine hundred twenty".