261811168080 has 320 divisors, whose sum is σ = 1030979155968. Its totient is φ = 53375662080.

The previous prime is 261811168067. The next prime is 261811168117. The reversal of 261811168080 is 80861118162.

261811168080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 845787 + ... + 1113093.

Almost surely, 2^261811168080 is an apocalyptic number.

261811168080 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 261811168080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515489577984).

261811168080 is an abundant number, since it is smaller than the sum of its proper divisors (769167987888).

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

261811168080 is a wasteful number, since it uses less digits than its factorization.

261811168080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267394 (or 267388 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 42.

The spelling of 261811168080 in words is "two hundred sixty-one billion, eight hundred eleven million, one hundred sixty-eight thousand, eighty".