164189961538320 has 160 divisors (see below), whose sum is σ = 512742042408960. Its totient is φ = 43461249431040.

The previous prime is 164189961538307. The next prime is 164189961538363. The reversal of 164189961538320 is 23835169981461.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187948135 + ... + 188819705.

It is an arithmetic number, because the mean of its divisors is an integer number (3204637765056).

Almost surely, 2^{164189961538320} is an apocalyptic number.

164189961538320 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 164189961538320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256371021204480).

164189961538320 is an abundant number, since it is smaller than the sum of its proper divisors (348552080870640).

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

164189961538320 is a wasteful number, since it uses less digits than its factorization.

164189961538320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877373 (or 877367 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 66.

The spelling of 164189961538320 in words is "one hundred sixty-four trillion, one hundred eighty-nine billion, nine hundred sixty-one million, five hundred thirty-eight thousand, three hundred twenty".