280938506160 has 320 divisors, whose sum is σ = 994527096192. Its totient is φ = 64990937088.

The previous prime is 280938506129. The next prime is 280938506171. The reversal of 280938506160 is 61605839082.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40147782 + ... + 40154778.

Almost surely, 2^280938506160 is an apocalyptic number.

280938506160 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 280938506160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497263548096).

280938506160 is an abundant number, since it is smaller than the sum of its proper divisors (713588590032).

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

280938506160 is a wasteful number, since it uses less digits than its factorization.

280938506160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7800 (or 7794 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 280938506160 in words is "two hundred eighty billion, nine hundred thirty-eight million, five hundred six thousand, one hundred sixty".