21610633261272 has 128 divisors (see below), whose sum is σ = 59091526944000. Its totient is φ = 6531639296000.

The previous prime is 21610633261211. The next prime is 21610633261279. The reversal of 21610633261272 is 27216233601612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21610633261279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329141647 + ... + 329207297.

It is an arithmetic number, because the mean of its divisors is an integer number (461652554250).

Almost surely, 2^{21610633261272} is an apocalyptic number.

21610633261272 is a gapful number since it is divisible by the number (22) 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 21610633261272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29545763472000).

21610633261272 is an abundant number, since it is smaller than the sum of its proper divisors (37480893682728).

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

21610633261272 is a wasteful number, since it uses less digits than its factorization.

21610633261272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68897 (or 68893 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

Adding to 21610633261272 its reverse (27216233601612), we get a palindrome (48826866862884).

The spelling of 21610633261272 in words is "twenty-one trillion, six hundred ten billion, six hundred thirty-three million, two hundred sixty-one thousand, two hundred seventy-two".