165205272870 has 224 divisors, whose sum is σ = 497703723264. Its totient is φ = 39117556800.

The previous prime is 165205272857. The next prime is 165205272887. The reversal of 165205272870 is 78272502561.

165205272870 is a `hidden beast` number, since 1 + 6 + 52 + 0 + 527 + 2 + 8 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3424215 + ... + 3472125.

Almost surely, 2^165205272870 is an apocalyptic number.

165205272870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165205272870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248851861632).

165205272870 is an abundant number, since it is smaller than the sum of its proper divisors (332498450394).

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

165205272870 is a wasteful number, since it uses less digits than its factorization.

165205272870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47990 (or 47975 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 165205272870 in words is "one hundred sixty-five billion, two hundred five million, two hundred seventy-two thousand, eight hundred seventy".