238278875627520 has 8640 divisors, whose sum is σ = 1206107784161280. Its totient is φ = 44497945755648.

The previous prime is 238278875627467. The next prime is 238278875627561. The reversal of 238278875627520 is 25726578872832.

238278875627520 is a `hidden beast` number, since 2 + 3 + 8 + 2 + 7 + 8 + 8 + 7 + 562 + 7 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5541369200619 + ... + 5541369200661.

It is an arithmetic number, because the mean of its divisors is an integer number (139595808352).

Almost surely, 2^{238278875627520} is an apocalyptic number.

238278875627520 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 238278875627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603053892080640).

238278875627520 is an abundant number, since it is smaller than the sum of its proper divisors (967828908533760).

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

238278875627520 is a wasteful number, since it uses less digits than its factorization.

238278875627520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1264435200, while the sum is 72.

The spelling of 238278875627520 in words is "two hundred thirty-eight trillion, two hundred seventy-eight billion, eight hundred seventy-five million, six hundred twenty-seven thousand, five hundred twenty".