261007171270000 has 100 divisors (see below), whose sum is σ = 652309123212736. Its totient is φ = 101035033920000.

The previous prime is 261007171269979. The next prime is 261007171270019. The reversal of 261007171270000 is 72171700162.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×261007171270000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 420669309 + ... + 421289308.

Almost surely, 2^{261007171270000} is an apocalyptic number.

261007171270000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261007171270000 is an abundant number, since it is smaller than the sum of its proper divisors (391301951942736).

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

261007171270000 is an equidigital number, since it uses as much as digits as its factorization.

261007171270000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841958676 (or 841958655 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 34.

The spelling of 261007171270000 in words is "two hundred sixty-one trillion, seven billion, one hundred seventy-one million, two hundred seventy thousand".