20975081032224 has 288 divisors, whose sum is σ = 66864411956160. Its totient is φ = 6181029734400.

The previous prime is 20975081032163. The next prime is 20975081032237. The reversal of 20975081032224 is 42223018057902.

20975081032224 is a `hidden beast` number, since 2 + 0 + 97 + 508 + 1 + 0 + 32 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 20975081032224.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226297762 + ... + 226390430.

It is an arithmetic number, because the mean of its divisors is an integer number (232168097070).

Almost surely, 2^{20975081032224} is an apocalyptic number.

20975081032224 is a gapful number since it is divisible by the number (24) 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 20975081032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33432205978080).

20975081032224 is an abundant number, since it is smaller than the sum of its proper divisors (45889330923936).

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

20975081032224 is a wasteful number, since it uses less digits than its factorization.

20975081032224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94664 (or 94653 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 20975081032224 in words is "twenty trillion, nine hundred seventy-five billion, eighty-one million, thirty-two thousand, two hundred twenty-four".