21732170213376 has 1152 divisors, whose sum is σ = 80383998240000. Its totient is φ = 5843164594176.

The previous prime is 21732170213333. The next prime is 21732170213471. The reversal of 21732170213376 is 67331207123712.

21732170213376 is a `hidden beast` number, since 2 + 17 + 321 + 70 + 213 + 37 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2901875040 + ... + 2901882528.

It is an arithmetic number, because the mean of its divisors is an integer number (69777776250).

Almost surely, 2^{21732170213376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21732170213376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40191999120000).

21732170213376 is an abundant number, since it is smaller than the sum of its proper divisors (58651828026624).

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

21732170213376 is an frugal number, since it uses more digits than its factorization.

21732170213376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7564 (or 7518 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 21732170213376 in words is "twenty-one trillion, seven hundred thirty-two billion, one hundred seventy million, two hundred thirteen thousand, three hundred seventy-six".