238765978960 has 80 divisors (see below), whose sum is σ = 582178809600. Its totient is φ = 90894735360.

The previous prime is 238765978939. The next prime is 238765979051. The reversal of 238765978960 is 69879567832.

238765978960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-4 number, since 4×238765978960⁴ (a number of 47 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 238765978960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40120 + ... + 692200.

It is an arithmetic number, because the mean of its divisors is an integer number (7277235120).

Almost surely, 2^238765978960 is an apocalyptic number.

238765978960 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 238765978960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291089404800).

238765978960 is an abundant number, since it is smaller than the sum of its proper divisors (343412830640).

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

238765978960 is a wasteful number, since it uses less digits than its factorization.

238765978960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652316 (or 652310 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 70.

The spelling of 238765978960 in words is "two hundred thirty-eight billion, seven hundred sixty-five million, nine hundred seventy-eight thousand, nine hundred sixty".