164510590200 has 192 divisors, whose sum is σ = 566843184000. Its totient is φ = 39128793600.

The previous prime is 164510590199. The next prime is 164510590201. The reversal of 164510590200 is 2095015461.

It is an interprime number because it is at equal distance from previous prime (164510590199) and next prime (164510590201).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164510590201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114651 + ... + 584949.

It is an arithmetic number, because the mean of its divisors is an integer number (2952308250).

Almost surely, 2^164510590200 is an apocalyptic number.

164510590200 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 164510590200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283421592000).

164510590200 is an abundant number, since it is smaller than the sum of its proper divisors (402332593800).

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

164510590200 is a wasteful number, since it uses less digits than its factorization.

164510590200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470382 (or 470373 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 164510590200 in words is "one hundred sixty-four billion, five hundred ten million, five hundred ninety thousand, two hundred".