20984225109120 has 6144 divisors, whose sum is σ = 105795901440000. Its totient is φ = 3873705099264.

The previous prime is 20984225109109. The next prime is 20984225109137. The reversal of 20984225109120 is 2190152248902.

20984225109120 is a `hidden beast` number, since 2 + 0 + 9 + 8 + 4 + 2 + 2 + 510 + 9 + 120 = 666.

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 polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 723593969266 + ... + 723593969294.

It is an arithmetic number, because the mean of its divisors is an integer number (17219385000).

Almost surely, 2^{20984225109120} is an apocalyptic number.

20984225109120 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 20984225109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52897950720000).

20984225109120 is an abundant number, since it is smaller than the sum of its proper divisors (84811676330880).

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

20984225109120 is a wasteful number, since it uses less digits than its factorization.

20984225109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 20984225109120 in words is "twenty trillion, nine hundred eighty-four billion, two hundred twenty-five million, one hundred nine thousand, one hundred twenty".