238532689920 has 480 divisors, whose sum is σ = 889359372000. Its totient is φ = 54433677312.

The previous prime is 238532689907. The next prime is 238532689933. The reversal of 238532689920 is 29986235832.

It is an interprime number because it is at equal distance from previous prime (238532689907) and next prime (238532689933).

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385351371 + ... + 385351989.

It is an arithmetic number, because the mean of its divisors is an integer number (1852832025).

Almost surely, 2^238532689920 is an apocalyptic number.

238532689920 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 238532689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444679686000).

238532689920 is an abundant number, since it is smaller than the sum of its proper divisors (650826682080).

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

238532689920 is an frugal number, since it uses more digits than its factorization.

238532689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 238532689920 in words is "two hundred thirty-eight billion, five hundred thirty-two million, six hundred eighty-nine thousand, nine hundred twenty".