261262045443300 has 576 divisors, whose sum is σ = 915119328614400. Its totient is φ = 56802229862400.

The previous prime is 261262045443283. The next prime is 261262045443331. The reversal of 261262045443300 is 3344540262162.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 138949846 + ... + 140817554.

It is an arithmetic number, because the mean of its divisors is an integer number (1588748834400).

Almost surely, 2^{261262045443300} is an apocalyptic number.

261262045443300 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 261262045443300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457559664307200).

261262045443300 is an abundant number, since it is smaller than the sum of its proper divisors (653857283171100).

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

261262045443300 is a wasteful number, since it uses less digits than its factorization.

261262045443300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867876 (or 1867869 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 261262045443300 in words is "two hundred sixty-one trillion, two hundred sixty-two billion, forty-five million, four hundred forty-three thousand, three hundred".