28194105139200 has 6048 divisors, whose sum is σ = 144150934374720. Its totient is φ = 5172520550400.

The previous prime is 28194105139183. The next prime is 28194105139241. The reversal of 28194105139200 is 293150149182.

28194105139200 is a `hidden beast` number, since 2 + 8 + 1 + 9 + 41 + 0 + 513 + 92 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 477866188771 + ... + 477866188829.

It is an arithmetic number, because the mean of its divisors is an integer number (23834479890).

Almost surely, 2^{28194105139200} is an apocalyptic number.

28194105139200 is a gapful number since it is divisible by the number (20) 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 28194105139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72075467187360).

28194105139200 is an abundant number, since it is smaller than the sum of its proper divisors (115956829235520).

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

28194105139200 is a wasteful number, since it uses less digits than its factorization.

28194105139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 28194105139200 in words is "twenty-eight trillion, one hundred ninety-four billion, one hundred five million, one hundred thirty-nine thousand, two hundred".