238198060800 has 1080 divisors, whose sum is σ = 1031738776992. Its totient is φ = 53084160000.

The previous prime is 238198060787. The next prime is 238198060801. The reversal of 238198060800 is 8060891832.

238198060800 is a `hidden beast` number, since 2 + 38 + 1 + 9 + 8 + 0 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238198060801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 148780000 + ... + 148781600.

Almost surely, 2^238198060800 is an apocalyptic number.

238198060800 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 238198060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515869388496).

238198060800 is an abundant number, since it is smaller than the sum of its proper divisors (793540716192).

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

238198060800 is a wasteful number, since it uses less digits than its factorization.

238198060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 238198060800 in words is "two hundred thirty-eight billion, one hundred ninety-eight million, sixty thousand, eight hundred".