261795831792 has 320 divisors, whose sum is σ = 779470110720. Its totient is φ = 74987596800.

The previous prime is 261795831763. The next prime is 261795831799. The reversal of 261795831792 is 297138597162.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261795831799) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 167067393 + ... + 167068959.

It is an arithmetic number, because the mean of its divisors is an integer number (2435844096).

Almost surely, 2^261795831792 is an apocalyptic number.

261795831792 is a gapful number since it is divisible by the number (22) 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 261795831792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389735055360).

261795831792 is an abundant number, since it is smaller than the sum of its proper divisors (517674278928).

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

261795831792 is a wasteful number, since it uses less digits than its factorization.

261795831792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1846 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 60.

The spelling of 261795831792 in words is "two hundred sixty-one billion, seven hundred ninety-five million, eight hundred thirty-one thousand, seven hundred ninety-two".