20054391091200 has 1248 divisors, whose sum is σ = 75207337464000. Its totient is φ = 5303107584000.

The previous prime is 20054391091193. The next prime is 20054391091261. The reversal of 20054391091200 is 219019345002.

20054391091200 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 439 + 10 + 9 + 1 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33368370900 + ... + 33368371500.

Almost surely, 2^{20054391091200} is an apocalyptic number.

20054391091200 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 20054391091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37603668732000).

20054391091200 is an abundant number, since it is smaller than the sum of its proper divisors (55152946372800).

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

20054391091200 is an frugal number, since it uses more digits than its factorization.

20054391091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 20054391091200 in words is "twenty trillion, fifty-four billion, three hundred ninety-one million, ninety-one thousand, two hundred".