281968089360 has 40 divisors (see below), whose sum is σ = 874101077760. Its totient is φ = 75191490432.

The previous prime is 281968089317. The next prime is 281968089367. The reversal of 281968089360 is 63980869182.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 281968089294 and 281968089303.

It is not an unprimeable number, because it can be changed into a prime (281968089367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 587433280 + ... + 587433759.

It is an arithmetic number, because the mean of its divisors is an integer number (21852526944).

Almost surely, 2^281968089360 is an apocalyptic number.

281968089360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

281968089360 is an abundant number, since it is smaller than the sum of its proper divisors (592132988400).

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

281968089360 is a wasteful number, since it uses less digits than its factorization.

281968089360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174867055 (or 1174867049 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 60.

The spelling of 281968089360 in words is "two hundred eighty-one billion, nine hundred sixty-eight million, eighty-nine thousand, three hundred sixty".