260814781032 has 256 divisors, whose sum is σ = 742548576000. Its totient is φ = 76241378304.

The previous prime is 260814781027. The next prime is 260814781081. The reversal of 260814781032 is 230187418062.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83888694 + ... + 83891802.

It is an arithmetic number, because the mean of its divisors is an integer number (2900580375).

Almost surely, 2^260814781032 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 260814781032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371274288000).

260814781032 is an abundant number, since it is smaller than the sum of its proper divisors (481733794968).

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

260814781032 is a wasteful number, since it uses less digits than its factorization.

260814781032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

It can be divided in two parts, 260814 and 781032, that added together give a triangular number (1041846 = T₁₄₄₃).

The spelling of 260814781032 in words is "two hundred sixty billion, eight hundred fourteen million, seven hundred eighty-one thousand, thirty-two".