164080085400 has 768 divisors, whose sum is σ = 709004620800. Its totient is φ = 33882624000.

The previous prime is 164080085399. The next prime is 164080085441. The reversal of 164080085400 is 4580080461.

164080085400 is a `hidden beast` number, since 1 + 640 + 8 + 0 + 0 + 8 + 5 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71932260 + ... + 71934540.

It is an arithmetic number, because the mean of its divisors is an integer number (923183100).

Almost surely, 2^164080085400 is an apocalyptic number.

164080085400 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 164080085400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354502310400).

164080085400 is an abundant number, since it is smaller than the sum of its proper divisors (544924535400).

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

164080085400 is a wasteful number, since it uses less digits than its factorization.

164080085400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 164080085400 in words is "one hundred sixty-four billion, eighty million, eighty-five thousand, four hundred".