28166940504000 has 1344 divisors, whose sum is σ = 106920437944320. Its totient is φ = 7066967040000.

The previous prime is 28166940503971. The next prime is 28166940504089. The reversal of 28166940504000 is 40504966182.

28166940504000 is a `hidden beast` number, since 2 + 81 + 6 + 69 + 4 + 0 + 504 + 0 + 0 + 0 = 666.

28166940504000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25817543455 + ... + 25817544545.

It is an arithmetic number, because the mean of its divisors is an integer number (79553897280).

Almost surely, 2^{28166940504000} is an apocalyptic number.

28166940504000 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 28166940504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53460218972160).

28166940504000 is an abundant number, since it is smaller than the sum of its proper divisors (78753497440320).

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

28166940504000 is a wasteful number, since it uses less digits than its factorization.

28166940504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 28166940504000 in words is "twenty-eight trillion, one hundred sixty-six billion, nine hundred forty million, five hundred four thousand".