261692620800 has 384 divisors, whose sum is σ = 931993681920. Its totient is φ = 64408780800.

The previous prime is 261692620781. The next prime is 261692620867. The reversal of 261692620800 is 8026296162.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31944705 + ... + 31952895.

It is an arithmetic number, because the mean of its divisors is an integer number (2427066880).

Almost surely, 2^261692620800 is an apocalyptic number.

261692620800 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 261692620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465996840960).

261692620800 is an abundant number, since it is smaller than the sum of its proper divisors (670301061120).

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

261692620800 is an equidigital number, since it uses as much as digits as its factorization.

261692620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8247 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 261692620800 in words is "two hundred sixty-one billion, six hundred ninety-two million, six hundred twenty thousand, eight hundred".