268096837000 has 32 divisors (see below), whose sum is σ = 627346600920. Its totient is φ = 107238734400.

The previous prime is 268096836989. The next prime is 268096837013. The reversal of 268096837000 is 738690862.

268096837000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16869333924 + 251227503076 = 129882^2 + 501226^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 134047419 + ... + 134049418.

Almost surely, 2^268096837000 is an apocalyptic number.

268096837000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268096837000 is an abundant number, since it is smaller than the sum of its proper divisors (359249763920).

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

268096837000 is a wasteful number, since it uses less digits than its factorization.

268096837000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268096858 (or 268096844 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 268096837000 in words is "two hundred sixty-eight billion, ninety-six million, eight hundred thirty-seven thousand".