260876505600 has 1800 divisors, whose sum is σ = 1105272765828. Its totient is φ = 60515942400.

The previous prime is 260876505569. The next prime is 260876505613. The reversal of 260876505600 is 6505678062.

260876505600 is a `hidden beast` number, since 2 + 6 + 0 + 87 + 6 + 5 + 0 + 560 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 61989048576 + 198887457024 = 248976^2 + 445968^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 6362841580 + ... + 6362841620.

Almost surely, 2^260876505600 is an apocalyptic number.

260876505600 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 260876505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552636382914).

260876505600 is an abundant number, since it is smaller than the sum of its proper divisors (844396260228).

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

260876505600 is a wasteful number, since it uses less digits than its factorization.

260876505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 260876505600 in words is "two hundred sixty billion, eight hundred seventy-six million, five hundred five thousand, six hundred".