238768301051280 has 1920 divisors, whose sum is σ = 1100589117788160. Its totient is φ = 44788346634240.

The previous prime is 238768301051261. The next prime is 238768301051303. The reversal of 238768301051280 is 82150103867832.

238768301051280 is a `hidden beast` number, since 2 + 3 + 8 + 7 + 6 + 8 + 30 + 10 + 512 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6712047574 + ... + 6712083146.

It is an arithmetic number, because the mean of its divisors is an integer number (573223498848).

Almost surely, 2^{238768301051280} is an apocalyptic number.

238768301051280 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 238768301051280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550294558894080).

238768301051280 is an abundant number, since it is smaller than the sum of its proper divisors (861820816736880).

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

238768301051280 is a wasteful number, since it uses less digits than its factorization.

238768301051280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35829 (or 35820 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 238768301051280 in words is "two hundred thirty-eight trillion, seven hundred sixty-eight billion, three hundred one million, fifty-one thousand, two hundred eighty".