261158815008 has 576 divisors, whose sum is σ = 948159717120. Its totient is φ = 68474585088.

The previous prime is 261158814977. The next prime is 261158815019. The reversal of 261158815008 is 800518851162.

261158815008 is a `hidden beast` number, since 2 + 6 + 11 + 58 + 81 + 500 + 8 = 666.

261158815008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 201355416 + ... + 201356712.

It is an arithmetic number, because the mean of its divisors is an integer number (1646110620).

Almost surely, 2^261158815008 is an apocalyptic number.

261158815008 is a gapful number since it is divisible by the number (28) 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 261158815008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474079858560).

261158815008 is an abundant number, since it is smaller than the sum of its proper divisors (687000902112).

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

261158815008 is a wasteful number, since it uses less digits than its factorization.

261158815008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 45.

The spelling of 261158815008 in words is "two hundred sixty-one billion, one hundred fifty-eight million, eight hundred fifteen thousand, eight".