268832369520 has 1620 divisors, whose sum is σ = 1168794801720. Its totient is φ = 55153612800.

The previous prime is 268832369483. The next prime is 268832369567. The reversal of 268832369520 is 25963238862.

268832369520 is a `hidden beast` number, since 2 + 6 + 8 + 83 + 2 + 36 + 9 + 520 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 8672011905 + ... + 8672011935.

Almost surely, 2^268832369520 is an apocalyptic number.

268832369520 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 268832369520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584397400860).

268832369520 is an abundant number, since it is smaller than the sum of its proper divisors (899962432200).

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

268832369520 is a wasteful number, since it uses less digits than its factorization.

268832369520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 268832369520 in words is "two hundred sixty-eight billion, eight hundred thirty-two million, three hundred sixty-nine thousand, five hundred twenty".