261572355475200 has 2592 divisors, whose sum is σ = 1280256663329280. Its totient is φ = 51155081625600.

The previous prime is 261572355475181. The next prime is 261572355475273. The reversal of 261572355475200 is 2574553275162.

261572355475200 is a `hidden beast` number, since 2 + 6 + 1 + 5 + 7 + 23 + 55 + 47 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2035692556 + ... + 2035821044.

It is an arithmetic number, because the mean of its divisors is an integer number (493926181840).

Almost surely, 2^{261572355475200} is an apocalyptic number.

261572355475200 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 261572355475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640128331664640).

261572355475200 is an abundant number, since it is smaller than the sum of its proper divisors (1018684307854080).

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

261572355475200 is a wasteful number, since it uses less digits than its factorization.

261572355475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128565 (or 128534 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 54.

The spelling of 261572355475200 in words is "two hundred sixty-one trillion, five hundred seventy-two billion, three hundred fifty-five million, four hundred seventy-five thousand, two hundred".