281725112160 has 576 divisors, whose sum is σ = 1045842295680. Its totient is φ = 68843765760.

The previous prime is 281725112143. The next prime is 281725112167. The reversal of 281725112160 is 61211527182.

It is a happy number.

281725112160 is a `hidden beast` number, since 2 + 81 + 7 + 2 + 511 + 2 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281725112167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131584690 + ... + 131586830.

It is an arithmetic number, because the mean of its divisors is an integer number (1815698430).

Almost surely, 2^281725112160 is an apocalyptic number.

281725112160 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 281725112160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522921147840).

281725112160 is an abundant number, since it is smaller than the sum of its proper divisors (764117183520).

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

281725112160 is a wasteful number, since it uses less digits than its factorization.

281725112160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 281725112160 in words is "two hundred eighty-one billion, seven hundred twenty-five million, one hundred twelve thousand, one hundred sixty".