238360780800 has 504 divisors, whose sum is σ = 904152081456. Its totient is φ = 59816017920.

The previous prime is 238360780781. The next prime is 238360780813. The reversal of 238360780800 is 8087063832.

238360780800 is a `hidden beast` number, since 2 + 38 + 3 + 607 + 8 + 0 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31330597 + ... + 31338203.

Almost surely, 2^238360780800 is an apocalyptic number.

238360780800 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 238360780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452076040728).

238360780800 is an abundant number, since it is smaller than the sum of its proper divisors (665791300656).

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

238360780800 is a wasteful number, since it uses less digits than its factorization.

238360780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7666 (or 7634 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 238360780800 in words is "two hundred thirty-eight billion, three hundred sixty million, seven hundred eighty thousand, eight hundred".