20882922750144 has 1344 divisors, whose sum is σ = 79314466882560. Its totient is φ = 5099941232640.

The previous prime is 20882922750143. The next prime is 20882922750197. The reversal of 20882922750144 is 44105722928802.

20882922750144 is a `hidden beast` number, since 2 + 0 + 8 + 8 + 2 + 92 + 2 + 7 + 501 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (20882922750143) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10509773919 + ... + 10509775905.

It is an arithmetic number, because the mean of its divisors is an integer number (59013740240).

Almost surely, 2^{20882922750144} is an apocalyptic number.

20882922750144 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 20882922750144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39657233441280).

20882922750144 is an abundant number, since it is smaller than the sum of its proper divisors (58431544132416).

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

20882922750144 is a wasteful number, since it uses less digits than its factorization.

20882922750144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 20882922750144 in words is "twenty trillion, eight hundred eighty-two billion, nine hundred twenty-two million, seven hundred fifty thousand, one hundred forty-four".