238264351355520 has 1920 divisors, whose sum is σ = 1026270720161280. Its totient is φ = 51578733035520.

The previous prime is 238264351355491. The next prime is 238264351355521. The reversal of 238264351355520 is 25553153462832.

238264351355520 is a `hidden beast` number, since 2 + 3 + 8 + 2 + 6 + 4 + 3 + 51 + 35 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×238264351355520² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (238264351355521) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16390193692 + ... + 16390208228.

It is an arithmetic number, because the mean of its divisors is an integer number (534516000084).

Almost surely, 2^{238264351355520} is an apocalyptic number.

238264351355520 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 238264351355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513135360080640).

238264351355520 is an abundant number, since it is smaller than the sum of its proper divisors (788006368805760).

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

238264351355520 is a wasteful number, since it uses less digits than its factorization.

238264351355520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14684 (or 14632 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 238264351355520 in words is "two hundred thirty-eight trillion, two hundred sixty-four billion, three hundred fifty-one million, three hundred fifty-five thousand, five hundred twenty".