261594912000 has 576 divisors, whose sum is σ = 932103244800. Its totient is φ = 64792166400.

The previous prime is 261594911947. The next prime is 261594912013. The reversal of 261594912000 is 219495162.

It is a self number, because there is not a number n which added to its sum of digits gives 261594912000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128926986 + ... + 128929014.

It is an arithmetic number, because the mean of its divisors is an integer number (1618234800).

Almost surely, 2^261594912000 is an apocalyptic number.

261594912000 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 261594912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466051622400).

261594912000 is an abundant number, since it is smaller than the sum of its proper divisors (670508332800).

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

261594912000 is a wasteful number, since it uses less digits than its factorization.

261594912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 261594912000 in words is "two hundred sixty-one billion, five hundred ninety-four million, nine hundred twelve thousand".