260432804772 has 240 divisors, whose sum is σ = 787720299520. Its totient is φ = 73491038208.

The previous prime is 260432804693. The next prime is 260432804833. The reversal of 260432804772 is 277408234062.

260432804772 is a `hidden beast` number, since 2 + 60 + 43 + 2 + 80 + 477 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 148056429 + ... + 148058187.

Almost surely, 2^260432804772 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 260432804772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393860149760).

260432804772 is an abundant number, since it is smaller than the sum of its proper divisors (527287494748).

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

260432804772 is a wasteful number, since it uses less digits than its factorization.

260432804772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 260432804772 in words is "two hundred sixty billion, four hundred thirty-two million, eight hundred four thousand, seven hundred seventy-two".