261564325347120 has 80 divisors (see below), whose sum is σ = 810855496688640. Its totient is φ = 69749963050752.

The previous prime is 261564325347119. The next prime is 261564325347133. The reversal of 261564325347120 is 21743523465162.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28478721 + ... + 36526239.

It is an arithmetic number, because the mean of its divisors is an integer number (10135693708608).

Almost surely, 2^{261564325347120} is an apocalyptic number.

261564325347120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261564325347120 is an abundant number, since it is smaller than the sum of its proper divisors (549291171341520).

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

261564325347120 is a wasteful number, since it uses less digits than its factorization.

261564325347120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8182962 (or 8182956 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 261564325347120 in words is "two hundred sixty-one trillion, five hundred sixty-four billion, three hundred twenty-five million, three hundred forty-seven thousand, one hundred twenty".