261069175424 has 128 divisors (see below), whose sum is σ = 550847001600. Its totient is φ = 123046502400.

The previous prime is 261069175397. The next prime is 261069175427. The reversal of 261069175424 is 424571960162.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×261069175424² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (261069175427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180420269 + ... + 180421715.

It is an arithmetic number, because the mean of its divisors is an integer number (4303492200).

Almost surely, 2^261069175424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261069175424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275423500800).

261069175424 is an abundant number, since it is smaller than the sum of its proper divisors (289777826176).

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

261069175424 is a wasteful number, since it uses less digits than its factorization.

261069175424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 261069175424 in words is "two hundred sixty-one billion, sixty-nine million, one hundred seventy-five thousand, four hundred twenty-four".