238903313528880 has 2560 divisors, whose sum is σ = 1132855492608000. Its totient is φ = 45602171596800.

The previous prime is 238903313528843. The next prime is 238903313528939. The reversal of 238903313528880 is 88825313309832.

238903313528880 is a `hidden beast` number, since 2 + 3 + 8 + 90 + 3 + 3 + 13 + 528 + 8 + 8 + 0 = 666.

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 511 ways as a sum of consecutive naturals, for example, 22354566897 + ... + 22354577583.

It is an arithmetic number, because the mean of its divisors is an integer number (442521676800).

Almost surely, 2^{238903313528880} is an apocalyptic number.

238903313528880 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 238903313528880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566427746304000).

238903313528880 is an abundant number, since it is smaller than the sum of its proper divisors (893952179079120).

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

238903313528880 is a wasteful number, since it uses less digits than its factorization.

238903313528880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10965 (or 10939 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 238903313528880 in words is "two hundred thirty-eight trillion, nine hundred three billion, three hundred thirteen million, five hundred twenty-eight thousand, eight hundred eighty".