261182834660 has 96 divisors (see below), whose sum is σ = 630544207104. Its totient is φ = 89946560000.

The previous prime is 261182834651. The next prime is 261182834687. The reversal of 261182834660 is 66438281162.

It is a super-3 number, since 3×261182834660³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255530 + ... + 766590.

It is an arithmetic number, because the mean of its divisors is an integer number (6568168824).

Almost surely, 2^261182834660 is an apocalyptic number.

261182834660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 511060×511061.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261182834660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315272103552).

261182834660 is an abundant number, since it is smaller than the sum of its proper divisors (369361372444).

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

261182834660 is a wasteful number, since it uses less digits than its factorization.

261182834660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511205 (or 511203 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The spelling of 261182834660 in words is "two hundred sixty-one billion, one hundred eighty-two million, eight hundred thirty-four thousand, six hundred sixty".