261111730160 has 80 divisors (see below), whose sum is σ = 666820892160. Its totient is φ = 94645520640.

The previous prime is 261111730157. The next prime is 261111730171. The reversal of 261111730160 is 61037111162.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3699476 + ... + 3769395.

It is an arithmetic number, because the mean of its divisors is an integer number (8335261152).

Almost surely, 2^261111730160 is an apocalyptic number.

261111730160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261111730160 is an abundant number, since it is smaller than the sum of its proper divisors (405709162000).

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

261111730160 is a wasteful number, since it uses less digits than its factorization.

261111730160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7468926 (or 7468920 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 29.

The spelling of 261111730160 in words is "two hundred sixty-one billion, one hundred eleven million, seven hundred thirty thousand, one hundred sixty".