268551826920 has 1024 divisors, whose sum is σ = 1047997440000. Its totient is φ = 60615475200.

The previous prime is 268551826903. The next prime is 268551827003. The reversal of 268551826920 is 29628155862.

268551826920 is a `hidden beast` number, since 2 + 6 + 8 + 551 + 8 + 2 + 69 + 20 = 666.

268551826920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1778488845 + ... + 1778488995.

It is an arithmetic number, because the mean of its divisors is an integer number (1023435000).

Almost surely, 2^268551826920 is an apocalyptic number.

268551826920 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 268551826920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523998720000).

268551826920 is an abundant number, since it is smaller than the sum of its proper divisors (779445613080).

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

268551826920 is a wasteful number, since it uses less digits than its factorization.

268551826920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

It can be divided in two parts, 26855 and 1826920, that added together give a triangular number (1853775 = T₁₉₂₅).

The spelling of 268551826920 in words is "two hundred sixty-eight billion, five hundred fifty-one million, eight hundred twenty-six thousand, nine hundred twenty".