280096090560 has 1792 divisors, whose sum is σ = 1226987274240. Its totient is φ = 59222016000.

The previous prime is 280096090543. The next prime is 280096090567. The reversal of 280096090560 is 65090690082.

280096090560 is a `hidden beast` number, since 2 + 80 + 0 + 9 + 6 + 0 + 9 + 0 + 560 = 666.

It is a super-2 number, since 2×280096090560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (280096090567) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2719379469 + ... + 2719379571.

It is an arithmetic number, because the mean of its divisors is an integer number (684702720).

Almost surely, 2^280096090560 is an apocalyptic number.

280096090560 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 280096090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613493637120).

280096090560 is an abundant number, since it is smaller than the sum of its proper divisors (946891183680).

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

280096090560 is a wasteful number, since it uses less digits than its factorization.

280096090560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 280096090560 in words is "two hundred eighty billion, ninety-six million, ninety thousand, five hundred sixty".