245320108800 has 864 divisors, whose sum is σ = 899302440960. Its totient is φ = 58525286400.

The previous prime is 245320108771. The next prime is 245320108823. The reversal of 245320108800 is 8801023542.

245320108800 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 95 ways as a sum of consecutive naturals, for example, 1931654337 + ... + 1931654463.

Almost surely, 2^245320108800 is an apocalyptic number.

245320108800 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 245320108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449651220480).

245320108800 is an abundant number, since it is smaller than the sum of its proper divisors (653982332160).

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

245320108800 is a wasteful number, since it uses less digits than its factorization.

245320108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 245320108800 in words is "two hundred forty-five billion, three hundred twenty million, one hundred eight thousand, eight hundred".