260959804378560 has 4032 divisors, whose sum is σ = 1165637910528000. Its totient is φ = 53208264130560.

The previous prime is 260959804378513. The next prime is 260959804378561. The reversal of 260959804378560 is 65873408959062.

It is a happy number.

260959804378560 is a `hidden beast` number, since 2 + 6 + 0 + 9 + 59 + 8 + 0 + 4 + 3 + 7 + 8 + 560 = 666.

260959804378560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260959804378561) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 622815762031 + ... + 622815762449.

It is an arithmetic number, because the mean of its divisors is an integer number (289096704000).

Almost surely, 2^{260959804378560} is an apocalyptic number.

260959804378560 is a gapful number since it is divisible by the number (20) 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 260959804378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582818955264000).

260959804378560 is an abundant number, since it is smaller than the sum of its proper divisors (904678106149440).

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

260959804378560 is a wasteful number, since it uses less digits than its factorization.

260959804378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 260959804378560 in words is "two hundred sixty trillion, nine hundred fifty-nine billion, eight hundred four million, three hundred seventy-eight thousand, five hundred sixty".