268890067260 has 240 divisors, whose sum is σ = 893825168544. Its totient is φ = 67434135552.

The previous prime is 268890067249. The next prime is 268890067273. The reversal of 268890067260 is 62760098862.

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

It is a junction number, because it is equal to n+sod(n) for n = 268890067197 and 268890067206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45906252 + ... + 45912108.

Almost surely, 2^268890067260 is an apocalyptic number.

268890067260 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 268890067260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446912584272).

268890067260 is an abundant number, since it is smaller than the sum of its proper divisors (624935101284).

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

268890067260 is a wasteful number, since it uses less digits than its factorization.

268890067260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7562 (or 7551 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 268890067260 in words is "two hundred sixty-eight billion, eight hundred ninety million, sixty-seven thousand, two hundred sixty".