261117267011220 has 48 divisors (see below), whose sum is σ = 732564749185920. Its totient is φ = 69494471054976.

The previous prime is 261117267011197. The next prime is 261117267011231. The reversal of 261117267011220 is 22110762711162.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4274973832 + ... + 4275034911.

It is an arithmetic number, because the mean of its divisors is an integer number (15261765608040).

Almost surely, 2^{261117267011220} is an apocalyptic number.

261117267011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261117267011220 is an abundant number, since it is smaller than the sum of its proper divisors (471447482174700).

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

261117267011220 is a wasteful number, since it uses less digits than its factorization.

261117267011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8550009264 (or 8550009262 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The spelling of 261117267011220 in words is "two hundred sixty-one trillion, one hundred seventeen billion, two hundred sixty-seven million, eleven thousand, two hundred twenty".