10164528000 has 1280 divisors, whose sum is σ = 44360110080. Its totient is φ = 2280960000.

The previous prime is 10164527999. The next prime is 10164528007. The reversal of 10164528000 is 82546101.

10164528000 is a `hidden beast` number, since 10 + 1 + 645 + 2 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10164528007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 327887985 + ... + 327888015.

It is an arithmetic number, because the mean of its divisors is an integer number (34656336).

Almost surely, 2^10164528000 is an apocalyptic number.

10164528000 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 10164528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22180055040).

10164528000 is an abundant number, since it is smaller than the sum of its proper divisors (34195582080).

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

10164528000 is a wasteful number, since it uses less digits than its factorization.

10164528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10164528000 in words is "ten billion, one hundred sixty-four million, five hundred twenty-eight thousand".