164415569800 has 96 divisors (see below), whose sum is σ = 385187400000. Its totient is φ = 65264495360.

The previous prime is 164415569777. The next prime is 164415569827. The reversal of 164415569800 is 8965514461.

It is a happy number.

It is a super-3 number, since 3×164415569800³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46456431 + ... + 46459969.

It is an arithmetic number, because the mean of its divisors is an integer number (4012368750).

Almost surely, 2^164415569800 is an apocalyptic number.

164415569800 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 164415569800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192593700000).

164415569800 is an abundant number, since it is smaller than the sum of its proper divisors (220771830200).

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

164415569800 is a wasteful number, since it uses less digits than its factorization.

164415569800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5263 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

The spelling of 164415569800 in words is "one hundred sixty-four billion, four hundred fifteen million, five hundred sixty-nine thousand, eight hundred".