238541825820720 has 80 divisors (see below), whose sum is σ = 763333842650112. Its totient is φ = 61559180855040.

The previous prime is 238541825820713. The next prime is 238541825820733. The reversal of 238541825820720 is 27028528145832.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16031029242 + ... + 16031044121.

Almost surely, 2^{238541825820720} is an apocalyptic number.

238541825820720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238541825820720 is an abundant number, since it is smaller than the sum of its proper divisors (524792016829392).

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

238541825820720 is a wasteful number, since it uses less digits than its factorization.

238541825820720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32062073410 (or 32062073404 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 57.

The spelling of 238541825820720 in words is "two hundred thirty-eight trillion, five hundred forty-one billion, eight hundred twenty-five million, eight hundred twenty thousand, seven hundred twenty".