280948268160 has 768 divisors, whose sum is σ = 1166377605120. Its totient is φ = 60958310400.

The previous prime is 280948268147. The next prime is 280948268171. The reversal of 280948268160 is 61862849082.

280948268160 is a `hidden beast` number, since 2 + 80 + 9 + 482 + 6 + 81 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 280948268097 and 280948268106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66243640 + ... + 66247880.

It is an arithmetic number, because the mean of its divisors is an integer number (1518720840).

Almost surely, 2^280948268160 is an apocalyptic number.

280948268160 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 280948268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583188802560).

280948268160 is an abundant number, since it is smaller than the sum of its proper divisors (885429336960).

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

280948268160 is a wasteful number, since it uses less digits than its factorization.

280948268160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4357 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 280948268160 in words is "two hundred eighty billion, nine hundred forty-eight million, two hundred sixty-eight thousand, one hundred sixty".