280960352386560 has 5760 divisors, whose sum is σ = 1329114803208192. Its totient is φ = 55614549196800.

The previous prime is 280960352386453. The next prime is 280960352386561. The reversal of 280960352386560 is 65683253069082.

280960352386560 is a `hidden beast` number, since 2 + 8 + 0 + 9 + 6 + 0 + 35 + 2 + 38 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×280960352386560² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (280960352386561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1682397319597 + ... + 1682397319763.

Almost surely, 2^{280960352386560} is an apocalyptic number.

280960352386560 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 280960352386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664557401604096).

280960352386560 is an abundant number, since it is smaller than the sum of its proper divisors (1048154450821632).

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

280960352386560 is a wasteful number, since it uses less digits than its factorization.

280960352386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 280960352386560 in words is "two hundred eighty trillion, nine hundred sixty billion, three hundred fifty-two million, three hundred eighty-six thousand, five hundred sixty".