268512375780 has 144 divisors (see below), whose sum is σ = 888726384000. Its totient is φ = 65079659520.

The previous prime is 268512375767. The next prime is 268512375811. The reversal of 268512375780 is 87573215862.

268512375780 is a `hidden beast` number, since 2 + 68 + 5 + 1 + 2 + 3 + 7 + 578 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11153196 + ... + 11177244.

It is an arithmetic number, because the mean of its divisors is an integer number (6171711000).

Almost surely, 2^268512375780 is an apocalyptic number.

268512375780 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 268512375780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444363192000).

268512375780 is an abundant number, since it is smaller than the sum of its proper divisors (620214008220).

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

268512375780 is a wasteful number, since it uses less digits than its factorization.

268512375780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29714 (or 29709 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 268512375780 in words is "two hundred sixty-eight billion, five hundred twelve million, three hundred seventy-five thousand, seven hundred eighty".