268893907120 has 80 divisors (see below), whose sum is σ = 666240215040. Its totient is φ = 100692154112.

The previous prime is 268893907103. The next prime is 268893907151. The reversal of 268893907120 is 21709398862.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

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, 1468180 + ... + 1641139.

It is an arithmetic number, because the mean of its divisors is an integer number (8328002688).

Almost surely, 2^268893907120 is an apocalyptic number.

268893907120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268893907120 is an abundant number, since it is smaller than the sum of its proper divisors (397346307920).

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

268893907120 is a wasteful number, since it uses less digits than its factorization.

268893907120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109402 (or 3109396 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 268893907120 in words is "two hundred sixty-eight billion, eight hundred ninety-three million, nine hundred seven thousand, one hundred twenty".