261422566347200 has 168 divisors, whose sum is σ = 666768590995584. Its totient is φ = 100775927808000.

The previous prime is 261422566347197. The next prime is 261422566347233. The reversal of 261422566347200 is 2743665224162.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1018712 + ... + 22888488.

It is an arithmetic number, because the mean of its divisors is an integer number (3968860660688).

Almost surely, 2^{261422566347200} is an apocalyptic number.

261422566347200 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 261422566347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333384295497792).

261422566347200 is an abundant number, since it is smaller than the sum of its proper divisors (405346024648384).

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

261422566347200 is a wasteful number, since it uses less digits than its factorization.

261422566347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21870071 (or 21870056 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 50.

The spelling of 261422566347200 in words is "two hundred sixty-one trillion, four hundred twenty-two billion, five hundred sixty-six million, three hundred forty-seven thousand, two hundred".