20544028243200 has 3888 divisors, whose sum is σ = 99842881896576. Its totient is φ = 3901331865600.

The previous prime is 20544028243177. The next prime is 20544028243273. The reversal of 20544028243200 is 234282044502.

20544028243200 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 402 + 8 + 2 + 43 + 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 431 ways as a sum of consecutive naturals, for example, 211794105552 + ... + 211794105648.

Almost surely, 2^{20544028243200} is an apocalyptic number.

20544028243200 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 20544028243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49921440948288).

20544028243200 is an abundant number, since it is smaller than the sum of its proper divisors (79298853653376).

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

20544028243200 is a wasteful number, since it uses less digits than its factorization.

20544028243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 20544028243200 in words is "twenty trillion, five hundred forty-four billion, twenty-eight million, two hundred forty-three thousand, two hundred".