268815137280 has 320 divisors, whose sum is σ = 912951388800. Its totient is φ = 67284172800.

The previous prime is 268815137263. The next prime is 268815137317. The reversal of 268815137280 is 82731518862.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15896830 + ... + 15913730.

It is an arithmetic number, because the mean of its divisors is an integer number (2852973090).

Almost surely, 2^268815137280 is an apocalyptic number.

268815137280 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 268815137280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456475694400).

268815137280 is an abundant number, since it is smaller than the sum of its proper divisors (644136251520).

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

268815137280 is a wasteful number, since it uses less digits than its factorization.

268815137280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17055 (or 17039 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 268815137280 in words is "two hundred sixty-eight billion, eight hundred fifteen million, one hundred thirty-seven thousand, two hundred eighty".