238533672960 has 1360 divisors, whose sum is σ = 1004863685760. Its totient is φ = 53508833280.

The previous prime is 238533672929. The next prime is 238533673069. The reversal of 238533672960 is 69276335832.

It is a happy number.

238533672960 is a `hidden beast` number, since 2 + 38 + 533 + 6 + 72 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 238533672897 and 238533672906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5547294699 + ... + 5547294741.

Almost surely, 2^238533672960 is an apocalyptic number.

238533672960 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 238533672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502431842880).

238533672960 is an abundant number, since it is smaller than the sum of its proper divisors (766330012800).

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

238533672960 is an equidigital number, since it uses as much as digits as its factorization.

238533672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 238533672960 in words is "two hundred thirty-eight billion, five hundred thirty-three million, six hundred seventy-two thousand, nine hundred sixty".