21626533233120 has 768 divisors, whose sum is σ = 73895489740800. Its totient is φ = 5304716820480.

The previous prime is 21626533233101. The next prime is 21626533233127. The reversal of 21626533233120 is 2133233562612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21626533233127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19500931126 + ... + 19500932234.

It is an arithmetic number, because the mean of its divisors is an integer number (96218085600).

Almost surely, 2^{21626533233120} is an apocalyptic number.

21626533233120 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 21626533233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36947744870400).

21626533233120 is an abundant number, since it is smaller than the sum of its proper divisors (52268956507680).

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

21626533233120 is a wasteful number, since it uses less digits than its factorization.

21626533233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 39.

Adding to 21626533233120 its reverse (2133233562612), we get a palindrome (23759766795732).

The spelling of 21626533233120 in words is "twenty-one trillion, six hundred twenty-six billion, five hundred thirty-three million, two hundred thirty-three thousand, one hundred twenty".