260830795680 has 576 divisors, whose sum is σ = 1136078431488. Its totient is φ = 55031685120.

The previous prime is 260830795679. The next prime is 260830795691. The reversal of 260830795680 is 86597038062.

It is a happy number.

260830795680 is a `hidden beast` number, since 2 + 6 + 0 + 8 + 3 + 0 + 79 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3501220 + ... + 3574940.

It is an arithmetic number, because the mean of its divisors is an integer number (1972358388).

Almost surely, 2^260830795680 is an apocalyptic number.

260830795680 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 260830795680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568039215744).

260830795680 is an abundant number, since it is smaller than the sum of its proper divisors (875247635808).

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

260830795680 is a wasteful number, since it uses less digits than its factorization.

260830795680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73771 (or 73751 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 260830795680 in words is "two hundred sixty billion, eight hundred thirty million, seven hundred ninety-five thousand, six hundred eighty".