245085800960 has 720 divisors, whose sum is σ = 808257634272. Its totient is φ = 70447104000.

The previous prime is 245085800951. The next prime is 245085800963. The reversal of 245085800960 is 69008580542.

It is not an unprimeable number, because it can be changed into a prime (245085800963) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 233192435 + ... + 233193485.

Almost surely, 2^245085800960 is an apocalyptic number.

245085800960 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 245085800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404128817136).

245085800960 is an abundant number, since it is smaller than the sum of its proper divisors (563171833312).

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

245085800960 is a wasteful number, since it uses less digits than its factorization.

245085800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 47.

The spelling of 245085800960 in words is "two hundred forty-five billion, eighty-five million, eight hundred thousand, nine hundred sixty".