245308852800 has 504 divisors, whose sum is σ = 981849752832. Its totient is φ = 57549312000.

The previous prime is 245308852793. The next prime is 245308852819. The reversal of 245308852800 is 8258803542.

245308852800 is a `hidden beast` number, since 2 + 45 + 3 + 0 + 88 + 528 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4885422 + ... + 4935378.

Almost surely, 2^245308852800 is an apocalyptic number.

245308852800 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 245308852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490924876416).

245308852800 is an abundant number, since it is smaller than the sum of its proper divisors (736540900032).

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

245308852800 is a wasteful number, since it uses less digits than its factorization.

245308852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50027 (or 50009 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 245308852800 in words is "two hundred forty-five billion, three hundred eight million, eight hundred fifty-two thousand, eight hundred".