165356089600 has 729 divisors, whose sum is σ = 492149661213. Its totient is φ = 54964715520.

The previous prime is 165356089559. The next prime is 165356089603. The reversal of 165356089600 is 6980653561.

It is a happy number.

The square root of 165356089600 is 406640.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 120425656576 + 44930433024 = 347024^2 + 211968^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165356089603) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7189395189 + ... + 7189395211.

Almost surely, 2^165356089600 is an apocalyptic number.

165356089600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

165356089600 is the 406640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165356089600

165356089600 is an abundant number, since it is smaller than the sum of its proper divisors (326793571613).

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

165356089600 is a wasteful number, since it uses less digits than its factorization.

165356089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

Multiplying 165356089600 by its sum of digits (49), we get a square (8102448390400 = 2846480²).

The spelling of 165356089600 in words is "one hundred sixty-five billion, three hundred fifty-six million, eighty-nine thousand, six hundred".