164528998200000 has 840 divisors, whose sum is σ = 696692307525984. Its totient is φ = 37606602240000.

The previous prime is 164528998199977. The next prime is 164528998200011. The reversal of 164528998200000 is 2899825461.

It is a happy number.

164528998200000 is a `hidden beast` number, since 1 + 6 + 4 + 528 + 9 + 98 + 20 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 164528998200000.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 112674564 + ... + 114125436.

Almost surely, 2^{164528998200000} is an apocalyptic number.

164528998200000 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 164528998200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348346153762992).

164528998200000 is an abundant number, since it is smaller than the sum of its proper divisors (532163309325984).

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

164528998200000 is an frugal number, since it uses more digits than its factorization.

164528998200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450929 (or 1450890 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 164528998200000 in words is "one hundred sixty-four trillion, five hundred twenty-eight billion, nine hundred ninety-eight million, two hundred thousand".