238828642560 has 1296 divisors, whose sum is σ = 957495022848. Its totient is φ = 56773509120.

The previous prime is 238828642519. The next prime is 238828642567. The reversal of 238828642560 is 65246828832.

It is a happy number.

238828642560 is a `hidden beast` number, since 2 + 3 + 8 + 82 + 86 + 425 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 = 238828642497 and 238828642506.

It is not an unprimeable number, because it can be changed into a prime (238828642567) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5081460457 + ... + 5081460503.

It is an arithmetic number, because the mean of its divisors is an integer number (738807888).

Almost surely, 2^238828642560 is an apocalyptic number.

238828642560 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 238828642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478747511424).

238828642560 is an abundant number, since it is smaller than the sum of its proper divisors (718666380288).

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

238828642560 is an equidigital number, since it uses as much as digits as its factorization.

238828642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 238828642560 in words is "two hundred thirty-eight billion, eight hundred twenty-eight million, six hundred forty-two thousand, five hundred sixty".