162069665800 has 144 divisors (see below), whose sum is σ = 438883042500. Its totient is φ = 55496931840.

The previous prime is 162069665789. The next prime is 162069665837. The reversal of 162069665800 is 8566960261.

It is a happy number.

162069665800 is digitally balanced in base 3, 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 31270263556 + 130799402244 = 176834^2 + 361662^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8114226 + ... + 8134174.

Almost surely, 2^162069665800 is an apocalyptic number.

162069665800 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 162069665800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219441521250).

162069665800 is an abundant number, since it is smaller than the sum of its proper divisors (276813376700).

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

162069665800 is a wasteful number, since it uses less digits than its factorization.

162069665800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20808 (or 20792 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 162069665800 in words is "one hundred sixty-two billion, sixty-nine million, six hundred sixty-five thousand, eight hundred".