238162527720 has 640 divisors, whose sum is σ = 914394096000. Its totient is φ = 55113799680.

The previous prime is 238162527697. The next prime is 238162527721. The reversal of 238162527720 is 27725261832.

238162527720 is a `hidden beast` number, since 23 + 81 + 6 + 2 + 527 + 7 + 20 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (238162527721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 111237850 + ... + 111239990.

It is an arithmetic number, because the mean of its divisors is an integer number (1428740775).

Almost surely, 2^238162527720 is an apocalyptic number.

238162527720 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 238162527720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457197048000).

238162527720 is an abundant number, since it is smaller than the sum of its proper divisors (676231568280).

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

238162527720 is a wasteful number, since it uses less digits than its factorization.

238162527720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 238162527720 in words is "two hundred thirty-eight billion, one hundred sixty-two million, five hundred twenty-seven thousand, seven hundred twenty".