383253205520 has 80 divisors (see below), whose sum is σ = 895789332480. Its totient is φ = 152489405952.

The previous prime is 383253205501. The next prime is 383253205529. The reversal of 383253205520 is 25502352383.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (383253205529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23665586 + ... + 23681774.

It is an arithmetic number, because the mean of its divisors is an integer number (11197366656).

Almost surely, 2^383253205520 is an apocalyptic number.

It is an amenable number.

383253205520 is an abundant number, since it is smaller than the sum of its proper divisors (512536126960).

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

383253205520 is a wasteful number, since it uses less digits than its factorization.

383253205520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17752 (or 17746 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

The spelling of 383253205520 in words is "three hundred eighty-three billion, two hundred fifty-three million, two hundred five thousand, five hundred twenty".