268088021267561 has 16 divisors (see below), whose sum is σ = 292663689658368. Its totient is φ = 243546363824400.

The previous prime is 268088021267527. The next prime is 268088021267569. The reversal of 268088021267561 is 165762120880862.

It is a cyclic number.

It is not a de Polignac number, because 268088021267561 - 2¹⁰ = 268088021266537 is a prime.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 268088021267494 and 268088021267503.

It is not an unprimeable number, because it can be changed into a prime (268088021267569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1219986080 + ... + 1220205806.

It is an arithmetic number, because the mean of its divisors is an integer number (18291480603648).

Almost surely, 2^{268088021267561} is an apocalyptic number.

It is an amenable number.

268088021267561 is a deficient number, since it is larger than the sum of its proper divisors (24575668390807).

268088021267561 is a wasteful number, since it uses less digits than its factorization.

268088021267561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296612.

The product of its (nonzero) digits is 30965760, while the sum is 62.

The spelling of 268088021267561 in words is "two hundred sixty-eight trillion, eighty-eight billion, twenty-one million, two hundred sixty-seven thousand, five hundred sixty-one".