164988096000 has 1920 divisors, whose sum is σ = 733543050240. Its totient is φ = 32514048000.

The previous prime is 164988095983. The next prime is 164988096029. The reversal of 164988096000 is 690889461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

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, 2323775965 + ... + 2323776035.

It is an arithmetic number, because the mean of its divisors is an integer number (382053672).

Almost surely, 2^164988096000 is an apocalyptic number.

164988096000 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 164988096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366771525120).

164988096000 is an abundant number, since it is smaller than the sum of its proper divisors (568554954240).

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

164988096000 is a wasteful number, since it uses less digits than its factorization.

164988096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 164988096000 in words is "one hundred sixty-four billion, nine hundred eighty-eight million, ninety-six thousand".