21660616354032 has 120 divisors (see below), whose sum is σ = 62123692110480. Its totient is φ = 7041207720960.

The previous prime is 21660616354007. The next prime is 21660616354063. The reversal of 21660616354032 is 23045361606612.

21660616354032 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 0 + 6 + 1 + 635 + 4 + 0 + 3 + 2 = 666.

It is a super-3 number, since 3×21660616354032³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13635319 + ... + 15140777.

It is an arithmetic number, because the mean of its divisors is an integer number (517697434254).

Almost surely, 2^{21660616354032} 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 21660616354032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31061846055240).

21660616354032 is an abundant number, since it is smaller than the sum of its proper divisors (40463075756448).

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

21660616354032 is a wasteful number, since it uses less digits than its factorization.

21660616354032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507951 (or 1507942 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 21660616354032 in words is "twenty-one trillion, six hundred sixty billion, six hundred sixteen million, three hundred fifty-four thousand, thirty-two".