261567537196 has 96 divisors (see below), whose sum is σ = 567475776000. Its totient is φ = 105147806400.

The previous prime is 261567537181. The next prime is 261567537211. The reversal of 261567537196 is 691735765162.

261567537196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (261567537181) and next prime (261567537211).

It is a self number, because there is not a number n which added to its sum of digits gives 261567537196.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2583195 + ... + 2682541.

It is an arithmetic number, because the mean of its divisors is an integer number (5911206000).

Almost surely, 2^261567537196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261567537196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283737888000).

261567537196 is an abundant number, since it is smaller than the sum of its proper divisors (305908238804).

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

261567537196 is a wasteful number, since it uses less digits than its factorization.

261567537196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99492 (or 99476 counting only the distinct ones).

The product of its digits is 14288400, while the sum is 58.

The spelling of 261567537196 in words is "two hundred sixty-one billion, five hundred sixty-seven million, five hundred thirty-seven thousand, one hundred ninety-six".