238973878080 has 504 divisors, whose sum is σ = 957860947368. Its totient is φ = 54526058496.

The previous prime is 238973878069. The next prime is 238973878097. The reversal of 238973878080 is 80878379832.

238973878080 is a `hidden beast` number, since 23 + 89 + 7 + 387 + 80 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62996984064 + 175976894016 = 250992^2 + 419496^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 238973877999 and 238973878017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106826722 + ... + 106828958.

Almost surely, 2^238973878080 is an apocalyptic number.

238973878080 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 238973878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478930473684).

238973878080 is an abundant number, since it is smaller than the sum of its proper divisors (718887069288).

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

238973878080 is a wasteful number, since it uses less digits than its factorization.

238973878080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 238973878080 in words is "two hundred thirty-eight billion, nine hundred seventy-three million, eight hundred seventy-eight thousand, eighty".