165120366260200 has 48 divisors (see below), whose sum is σ = 413435993988780. Its totient is φ = 60967519848960.

The previous prime is 165120366260183. The next prime is 165120366260209. The reversal of 165120366260200 is 2062663021561.

It is a happy number.

165120366260200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 850670493124 + 164269695767076 = 922318^2 + 12816774^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (165120366260209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31753913989 + ... + 31753919188.

Almost surely, 2^{165120366260200} is an apocalyptic number.

165120366260200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165120366260200 is an abundant number, since it is smaller than the sum of its proper divisors (248315627728580).

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

165120366260200 is a wasteful number, since it uses less digits than its factorization.

165120366260200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63507833206 (or 63507833197 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 165120366260200 in words is "one hundred sixty-five trillion, one hundred twenty billion, three hundred sixty-six million, two hundred sixty thousand, two hundred".