238878720000 has 700 divisors, whose sum is σ = 895098222975. Its totient is φ = 63700992000.

The previous prime is 238878719983. The next prime is 238878720013. The reversal of 238878720000 is 27878832.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)² ⋅ (5!)² ⋅ (2!)⁵.

It can be written as a sum of positive squares in 3 ways, for example, as 55228760064 + 183649959936 = 235008^2 + 428544^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=345600.

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

It is an unprimeable number.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 47775743998 + ... + 47775744002.

Almost surely, 2^238878720000 is an apocalyptic number.

238878720000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

238878720000 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238878720000

238878720000 is an abundant number, since it is smaller than the sum of its proper divisors (656219502975).

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

238878720000 is an frugal number, since it uses more digits than its factorization.

238878720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 238878720000 in words is "two hundred thirty-eight billion, eight hundred seventy-eight million, seven hundred twenty thousand".