245584026800 has 120 divisors (see below), whose sum is σ = 675229136736. Its totient is φ = 84084664320.

The previous prime is 245584026739. The next prime is 245584026839. The reversal of 245584026800 is 8620485542.

245584026800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1992572 + ... + 2112228.

Almost surely, 2^245584026800 is an apocalyptic number.

245584026800 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 245584026800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337614568368).

245584026800 is an abundant number, since it is smaller than the sum of its proper divisors (429645109936).

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

245584026800 is a wasteful number, since it uses less digits than its factorization.

245584026800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120415 (or 120404 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 44.

The spelling of 245584026800 in words is "two hundred forty-five billion, five hundred eighty-four million, twenty-six thousand, eight hundred".