164788536000 has 224 divisors, whose sum is σ = 593599219200. Its totient is φ = 39948672000.

The previous prime is 164788535959. The next prime is 164788536023. The reversal of 164788536000 is 635887461.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 48100 + ... + 576099.

Almost surely, 2^164788536000 is an apocalyptic number.

164788536000 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 164788536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296799609600).

164788536000 is an abundant number, since it is smaller than the sum of its proper divisors (428810683200).

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

164788536000 is a wasteful number, since it uses less digits than its factorization.

164788536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624240 (or 624220 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 164788536000 in words is "one hundred sixty-four billion, seven hundred eighty-eight million, five hundred thirty-six thousand".