20886366758400 has 1920 divisors, whose sum is σ = 92977929031680. Its totient is φ = 4522770432000.

The previous prime is 20886366758399. The next prime is 20886366758407. The reversal of 20886366758400 is 485766368802.

20886366758400 is a `hidden beast` number, since 20 + 8 + 86 + 3 + 66 + 75 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20886366758407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1532037984 + ... + 1532051616.

It is an arithmetic number, because the mean of its divisors is an integer number (48426004704).

Almost surely, 2^{20886366758400} is an apocalyptic number.

20886366758400 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 20886366758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46488964515840).

20886366758400 is an abundant number, since it is smaller than the sum of its proper divisors (72091562273280).

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

20886366758400 is a wasteful number, since it uses less digits than its factorization.

20886366758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13725 (or 13698 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 20886366758400 in words is "twenty trillion, eight hundred eighty-six billion, three hundred sixty-six million, seven hundred fifty-eight thousand, four hundred".