268875731540 has 144 divisors (see below), whose sum is σ = 624217321728. Its totient is φ = 97215985152.

The previous prime is 268875731479. The next prime is 268875731543. The reversal of 268875731540 is 45137578862.

268875731540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×268875731540² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268875731543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39174149 + ... + 39181011.

It is an arithmetic number, because the mean of its divisors is an integer number (4334842512).

Almost surely, 2^268875731540 is an apocalyptic number.

268875731540 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 268875731540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312108660864).

268875731540 is an abundant number, since it is smaller than the sum of its proper divisors (355341590188).

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

268875731540 is a wasteful number, since it uses less digits than its factorization.

268875731540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7138 (or 7123 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 56.

The spelling of 268875731540 in words is "two hundred sixty-eight billion, eight hundred seventy-five million, seven hundred thirty-one thousand, five hundred forty".