165461264520260 has 96 divisors (see below), whose sum is σ = 363359046597120. Its totient is φ = 63170221897728.

The previous prime is 165461264520257. The next prime is 165461264520287. The reversal of 165461264520260 is 62025462164561.

165461264520260 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 165461264520199 and 165461264520208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2454553436 + ... + 2454620844.

It is an arithmetic number, because the mean of its divisors is an integer number (3784990068720).

Almost surely, 2^{165461264520260} is an apocalyptic number.

165461264520260 is a gapful number since it is divisible by the number (10) 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 165461264520260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181679523298560).

165461264520260 is an abundant number, since it is smaller than the sum of its proper divisors (197897782076860).

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

165461264520260 is a wasteful number, since it uses less digits than its factorization.

165461264520260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78885 (or 78883 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 50.

The spelling of 165461264520260 in words is "one hundred sixty-five trillion, four hundred sixty-one billion, two hundred sixty-four million, five hundred twenty thousand, two hundred sixty".