164200960000 has 1040 divisors, whose sum is σ = 552715574400. Its totient is φ = 48168960000.

The previous prime is 164200959941. The next prime is 164200960019. The reversal of 164200960000 is 69002461.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9658879992 + ... + 9658880008.

Almost surely, 2^164200960000 is an apocalyptic number.

164200960000 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 164200960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276357787200).

164200960000 is an abundant number, since it is smaller than the sum of its proper divisors (388514614400).

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

164200960000 is an frugal number, since it uses more digits than its factorization.

164200960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 164200960000 its reverse (69002461), we get a palindrome (164269962461).

The spelling of 164200960000 in words is "one hundred sixty-four billion, two hundred million, nine hundred sixty thousand".