261642000715000 has 40 divisors (see below), whose sum is σ = 613027207686960. Its totient is φ = 104656800284000.

The previous prime is 261642000714989. The next prime is 261642000715019. The reversal of 261642000715000 is 517000246162.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×261642000715000³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 26164195072 + ... + 26164205071.

It is an arithmetic number, because the mean of its divisors is an integer number (15325680192174).

Almost surely, 2^{261642000715000} is an apocalyptic number.

261642000715000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261642000715000 is an abundant number, since it is smaller than the sum of its proper divisors (351385206971960).

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

261642000715000 is an equidigital number, since it uses as much as digits as its factorization.

261642000715000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52328400169 (or 52328400150 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 261642000715000 in words is "two hundred sixty-one trillion, six hundred forty-two billion, seven hundred fifteen thousand".