164525998000 has 320 divisors, whose sum is σ = 501039931392. Its totient is φ = 50856422400.

The previous prime is 164525997971. The next prime is 164525998027. The reversal of 164525998000 is 899525461.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

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, 7815489 + ... + 7836511.

Almost surely, 2^164525998000 is an apocalyptic number.

164525998000 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 164525998000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250519965696).

164525998000 is an abundant number, since it is smaller than the sum of its proper divisors (336513933392).

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

164525998000 is a wasteful number, since it uses less digits than its factorization.

164525998000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21109 (or 21093 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

The spelling of 164525998000 in words is "one hundred sixty-four billion, five hundred twenty-five million, nine hundred ninety-eight thousand".