238479202805760 has 1728 divisors, whose sum is σ = 998818936315200. Its totient is φ = 54489215434752.

The previous prime is 238479202805749. The next prime is 238479202805821. The reversal of 238479202805760 is 67508202974832.

238479202805760 is a `hidden beast` number, since 2 + 3 + 8 + 479 + 20 + 2 + 80 + 5 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 88885277379 + ... + 88885280061.

It is an arithmetic number, because the mean of its divisors is an integer number (578020217775).

Almost surely, 2^{238479202805760} is an apocalyptic number.

238479202805760 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 238479202805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499409468157600).

238479202805760 is an abundant number, since it is smaller than the sum of its proper divisors (760339733509440).

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

238479202805760 is an frugal number, since it uses more digits than its factorization.

238479202805760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 238479202805760 in words is "two hundred thirty-eight trillion, four hundred seventy-nine billion, two hundred two million, eight hundred five thousand, seven hundred sixty".