260981799600 has 240 divisors, whose sum is σ = 871664209920. Its totient is φ = 66665088000.

The previous prime is 260981799581. The next prime is 260981799607. The reversal of 260981799600 is 6997189062.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×260981799600² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (260981799607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4390075 + ... + 4449125.

It is an arithmetic number, because the mean of its divisors is an integer number (3631934208).

Almost surely, 2^260981799600 is an apocalyptic number.

260981799600 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 260981799600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435832104960).

260981799600 is an abundant number, since it is smaller than the sum of its proper divisors (610682410320).

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

260981799600 is a wasteful number, since it uses less digits than its factorization.

260981799600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59228 (or 59217 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 57.

The spelling of 260981799600 in words is "two hundred sixty billion, nine hundred eighty-one million, seven hundred ninety-nine thousand, six hundred".