21624377604221 has 96 divisors (see below), whose sum is σ = 27511951864320. Its totient is φ = 16572446392320.

The previous prime is 21624377604211. The next prime is 21624377604233. The reversal of 21624377604221 is 12240677342612.

It is not a de Polignac number, because 21624377604221 - 2⁴² = 17226331093117 is a prime.

It is a super-2 number, since 2×21624377604221² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21624377604211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11707837520 + ... + 11707839366.

It is an arithmetic number, because the mean of its divisors is an integer number (286582831920).

Almost surely, 2^{21624377604221} is an apocalyptic number.

It is an amenable number.

21624377604221 is a deficient number, since it is larger than the sum of its proper divisors (5887574260099).

21624377604221 is a wasteful number, since it uses less digits than its factorization.

21624377604221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 47.

The spelling of 21624377604221 in words is "twenty-one trillion, six hundred twenty-four billion, three hundred seventy-seven million, six hundred four thousand, two hundred twenty-one".