268570552000 has 112 divisors (see below), whose sum is σ = 666781577280. Its totient is φ = 107159040000.

The previous prime is 268570551959. The next prime is 268570552027. The reversal of 268570552000 is 255075862.

268570552000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3166141 + ... + 3249859.

It is an arithmetic number, because the mean of its divisors is an integer number (5953406940).

Almost surely, 2^268570552000 is an apocalyptic number.

268570552000 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 268570552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333390788640).

268570552000 is an abundant number, since it is smaller than the sum of its proper divisors (398211025280).

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

268570552000 is an equidigital number, since it uses as much as digits as its factorization.

268570552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84147 (or 84127 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The spelling of 268570552000 in words is "two hundred sixty-eight billion, five hundred seventy million, five hundred fifty-two thousand".