261566352432 has 960 divisors, whose sum is σ = 1002892001280. Its totient is φ = 62099136000.

The previous prime is 261566352431. The next prime is 261566352517. The reversal of 261566352432 is 234253665162.

261566352432 is a `hidden beast` number, since 2 + 6 + 1 + 5 + 6 + 635 + 2 + 4 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (261566352431) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 790230507 + ... + 790230837.

It is an arithmetic number, because the mean of its divisors is an integer number (1044679168).

Almost surely, 2^261566352432 is an apocalyptic number.

261566352432 is a gapful number since it is divisible by the number (22) 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 261566352432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501446000640).

261566352432 is an abundant number, since it is smaller than the sum of its proper divisors (741325648848).

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

261566352432 is a wasteful number, since it uses less digits than its factorization.

261566352432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 404 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The spelling of 261566352432 in words is "two hundred sixty-one billion, five hundred sixty-six million, three hundred fifty-two thousand, four hundred thirty-two".