261575077632 has 144 divisors (see below), whose sum is σ = 765006342912. Its totient is φ = 78686248960.

The previous prime is 261575077609. The next prime is 261575077637. The reversal of 261575077632 is 236770575162.

261575077632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261575077637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1044373 + ... + 1270379.

It is an arithmetic number, because the mean of its divisors is an integer number (5312544048).

Almost surely, 2^261575077632 is an apocalyptic number.

261575077632 is a gapful number since it is divisible by the number (22) 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 261575077632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382503171456).

261575077632 is an abundant number, since it is smaller than the sum of its proper divisors (503431265280).

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

261575077632 is a wasteful number, since it uses less digits than its factorization.

261575077632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226174 (or 226160 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 51.

The spelling of 261575077632 in words is "two hundred sixty-one billion, five hundred seventy-five million, seventy-seven thousand, six hundred thirty-two".