280955745600 has 336 divisors, whose sum is σ = 965773186560. Its totient is φ = 71371520000.

The previous prime is 280955745593. The next prime is 280955745617. The reversal of 280955745600 is 6547559082.

It is a super-2 number, since 2×280955745600² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27705331 + ... + 27715469.

It is an arithmetic number, because the mean of its divisors is an integer number (2874324960).

Almost surely, 2^280955745600 is an apocalyptic number.

280955745600 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 280955745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482886593280).

280955745600 is an abundant number, since it is smaller than the sum of its proper divisors (684817440960).

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

280955745600 is a wasteful number, since it uses less digits than its factorization.

280955745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10438 (or 10423 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 280955745600 in words is "two hundred eighty billion, nine hundred fifty-five million, seven hundred forty-five thousand, six hundred".