189100828800 has 768 divisors, whose sum is σ = 784606032000. Its totient is φ = 44093030400.

The previous prime is 189100828789. The next prime is 189100828843. The reversal of 189100828800 is 8828001981.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21336370 + ... + 21345230.

Almost surely, 2^189100828800 is an apocalyptic number.

189100828800 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 189100828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392303016000).

189100828800 is an abundant number, since it is smaller than the sum of its proper divisors (595505203200).

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

189100828800 is a wasteful number, since it uses less digits than its factorization.

189100828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8926 (or 8903 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 189100828800 in words is "one hundred eighty-nine billion, one hundred million, eight hundred twenty-eight thousand, eight hundred".