21171190423680 has 960 divisors, whose sum is σ = 86222635773120. Its totient is φ = 4909191598080.

The previous prime is 21171190423661. The next prime is 21171190423723. The reversal of 21171190423680 is 8632409117112.

21171190423680 is a `hidden beast` number, since 2 + 11 + 71 + 1 + 90 + 423 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 301621869 + ... + 301692051.

It is an arithmetic number, because the mean of its divisors is an integer number (89815245597).

Almost surely, 2^{21171190423680} is an apocalyptic number.

21171190423680 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 21171190423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43111317886560).

21171190423680 is an abundant number, since it is smaller than the sum of its proper divisors (65051445349440).

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

21171190423680 is a wasteful number, since it uses less digits than its factorization.

21171190423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70271 (or 70227 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 21171190423680 in words is "twenty-one trillion, one hundred seventy-one billion, one hundred ninety million, four hundred twenty-three thousand, six hundred eighty".