268775238420 has 1152 divisors, whose sum is σ = 1012559708160. Its totient is φ = 59256852480.

The previous prime is 268775238383. The next prime is 268775238437. The reversal of 268775238420 is 24832577862.

268775238420 is a `hidden beast` number, since 2 + 6 + 8 + 77 + 523 + 8 + 42 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2116340397 + ... + 2116340523.

It is an arithmetic number, because the mean of its divisors is an integer number (878958080).

Almost surely, 2^268775238420 is an apocalyptic number.

268775238420 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 268775238420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506279854080).

268775238420 is an abundant number, since it is smaller than the sum of its proper divisors (743784469740).

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

268775238420 is a wasteful number, since it uses less digits than its factorization.

268775238420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 268775238420 in words is "two hundred sixty-eight billion, seven hundred seventy-five million, two hundred thirty-eight thousand, four hundred twenty".