164852730000 has 1200 divisors, whose sum is σ = 711631405056. Its totient is φ = 34784640000.

The previous prime is 164852729999. The next prime is 164852730037. The reversal of 164852730000 is 37258461.

164852730000 is a `hidden beast` number, since 1 + 648 + 5 + 2 + 7 + 3 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 449189817 + ... + 449190183.

Almost surely, 2^164852730000 is an apocalyptic number.

164852730000 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 164852730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355815702528).

164852730000 is an abundant number, since it is smaller than the sum of its proper divisors (546778675056).

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

164852730000 is a wasteful number, since it uses less digits than its factorization.

164852730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 164852730000 its reverse (37258461), we get a palindrome (164889988461).

The spelling of 164852730000 in words is "one hundred sixty-four billion, eight hundred fifty-two million, seven hundred thirty thousand".