164260096000 has 768 divisors, whose sum is σ = 551204559360. Its totient is φ = 47185920000.

The previous prime is 164260095949. The next prime is 164260096031. The reversal of 164260096000 is 690062461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256255680 + ... + 256256320.

It is an arithmetic number, because the mean of its divisors is an integer number (717714270).

Almost surely, 2^164260096000 is an apocalyptic number.

164260096000 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 164260096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275602279680).

164260096000 is an abundant number, since it is smaller than the sum of its proper divisors (386944463360).

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

164260096000 is a wasteful number, since it uses less digits than its factorization.

164260096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 164260096000 in words is "one hundred sixty-four billion, two hundred sixty million, ninety-six thousand".