268891254720 has 280 divisors, whose sum is σ = 1043448558768. Its totient is φ = 65185689600.

The previous prime is 268891254701. The next prime is 268891254721. The reversal of 268891254720 is 27452198862.

268891254720 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 91 + 2 + 547 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268891254721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 186421 + ... + 756660.

Almost surely, 2^268891254720 is an apocalyptic number.

268891254720 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 268891254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521724279384).

268891254720 is an abundant number, since it is smaller than the sum of its proper divisors (774557304048).

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

268891254720 is a wasteful number, since it uses less digits than its factorization.

268891254720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943121 (or 943102 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 268891254720 in words is "two hundred sixty-eight billion, eight hundred ninety-one million, two hundred fifty-four thousand, seven hundred twenty".