261409075200 has 1248 divisors, whose sum is σ = 1183068723200. Its totient is φ = 55101358080.

The previous prime is 261409075181. The next prime is 261409075211. The reversal of 261409075200 is 2570904162.

261409075200 is a `hidden beast` number, since 2 + 6 + 1 + 40 + 90 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251596281 + ... + 251597319.

Almost surely, 2^261409075200 is an apocalyptic number.

261409075200 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 261409075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591534361600).

261409075200 is an abundant number, since it is smaller than the sum of its proper divisors (921659648000).

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

261409075200 is a wasteful number, since it uses less digits than its factorization.

261409075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 261409075200 its reverse (2570904162), we get a palindrome (263979979362).

The spelling of 261409075200 in words is "two hundred sixty-one billion, four hundred nine million, seventy-five thousand, two hundred".