21886717201920 has 240 divisors, whose sum is σ = 75805030913040. Its totient is φ = 5836059574272.

The previous prime is 21886717201907. The next prime is 21886717201963. The reversal of 21886717201920 is 2910271768812.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515360527 + ... + 515402993.

It is an arithmetic number, because the mean of its divisors is an integer number (315854295471).

Almost surely, 2^{21886717201920} is an apocalyptic number.

21886717201920 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 21886717201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37902515456520).

21886717201920 is an abundant number, since it is smaller than the sum of its proper divisors (53918313711120).

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

21886717201920 is a wasteful number, since it uses less digits than its factorization.

21886717201920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64865 (or 64846 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 21886717201920 in words is "twenty-one trillion, eight hundred eighty-six billion, seven hundred seventeen million, two hundred one thousand, nine hundred twenty".