21217239263232 has 672 divisors, whose sum is σ = 67449043116000. Its totient is φ = 6650741882880.

The previous prime is 21217239263221. The next prime is 21217239263323. The reversal of 21217239263232 is 23236293271212.

It is a happy number.

21217239263232 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 7 + 2 + 3 + 9 + 2 + 632 + 3 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3942989182 + ... + 3942994562.

It is an arithmetic number, because the mean of its divisors is an integer number (100370599875).

Almost surely, 2^{21217239263232} 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 21217239263232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33724521558000).

21217239263232 is an abundant number, since it is smaller than the sum of its proper divisors (46231803852768).

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

21217239263232 is an equidigital number, since it uses as much as digits as its factorization.

21217239263232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5579 (or 5544 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The spelling of 21217239263232 in words is "twenty-one trillion, two hundred seventeen billion, two hundred thirty-nine million, two hundred sixty-three thousand, two hundred thirty-two".