261586774560 has 96 divisors (see below), whose sum is σ = 839545560000. Its totient is φ = 68440306688.

The previous prime is 261586774531. The next prime is 261586774567. The reversal of 261586774560 is 65477685162.

261586774560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 261586774560.

It is not an unprimeable number, because it can be changed into a prime (261586774567) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5115810 + ... + 5166689.

It is an arithmetic number, because the mean of its divisors is an integer number (8745266250).

Almost surely, 2^261586774560 is an apocalyptic number.

261586774560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261586774560 is an abundant number, since it is smaller than the sum of its proper divisors (577958785440).

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

261586774560 is a wasteful number, since it uses less digits than its factorization.

261586774560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10282570 (or 10282562 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 57.

The spelling of 261586774560 in words is "two hundred sixty-one billion, five hundred eighty-six million, seven hundred seventy-four thousand, five hundred sixty".