21262226673600 has 2016 divisors, whose sum is σ = 87059087361792. Its totient is φ = 5103419904000.

The previous prime is 21262226673539. The next prime is 21262226673617. The reversal of 21262226673600 is 637662226212.

21262226673600 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 2 + 226 + 67 + 360 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 93666196687 + ... + 93666196913.

It is an arithmetic number, because the mean of its divisors is an integer number (43184071112).

Almost surely, 2^{21262226673600} is an apocalyptic number.

21262226673600 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 21262226673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43529543680896).

21262226673600 is an abundant number, since it is smaller than the sum of its proper divisors (65796860688192).

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

21262226673600 is a wasteful number, since it uses less digits than its factorization.

21262226673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

Adding to 21262226673600 its reverse (637662226212), we get a palindrome (21899888899812).

The spelling of 21262226673600 in words is "twenty-one trillion, two hundred sixty-two billion, two hundred twenty-six million, six hundred seventy-three thousand, six hundred".