261659550600 has 576 divisors, whose sum is σ = 1050467408640. Its totient is φ = 57069619200.

The previous prime is 261659550571. The next prime is 261659550601. The reversal of 261659550600 is 6055956162.

261659550600 is a `hidden beast` number, since 2 + 6 + 1 + 6 + 595 + 50 + 6 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (261659550601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 161417790 + ... + 161419410.

It is an arithmetic number, because the mean of its divisors is an integer number (1823728140).

Almost surely, 2^261659550600 is an apocalyptic number.

261659550600 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 261659550600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525233704320).

261659550600 is an abundant number, since it is smaller than the sum of its proper divisors (788807858040).

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

261659550600 is a wasteful number, since it uses less digits than its factorization.

261659550600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 261659550600 in words is "two hundred sixty-one billion, six hundred fifty-nine million, five hundred fifty thousand, six hundred".