268900373280 has 288 divisors, whose sum is σ = 1074904084800. Its totient is φ = 55875348480.

The previous prime is 268900373263. The next prime is 268900373311. The reversal of 268900373280 is 82373009862.

It is a happy number.

268900373280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 260955 + ... + 778394.

It is an arithmetic number, because the mean of its divisors is an integer number (3732305850).

Almost surely, 2^268900373280 is an apocalyptic number.

268900373280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268900373280 is an abundant number, since it is smaller than the sum of its proper divisors (806003711520).

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

268900373280 is a wasteful number, since it uses less digits than its factorization.

268900373280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039392 (or 1039377 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 268900373280 in words is "two hundred sixty-eight billion, nine hundred million, three hundred seventy-three thousand, two hundred eighty".