21642453061100 has 144 divisors (see below), whose sum is σ = 50000406019200. Its totient is φ = 8107736440320.

The previous prime is 21642453061063. The next prime is 21642453061133. The reversal of 21642453061100 is 116035424612.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1556220347 + ... + 1556234253.

It is an arithmetic number, because the mean of its divisors is an integer number (347225041800).

Almost surely, 2^{21642453061100} is an apocalyptic number.

21642453061100 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 21642453061100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25000203009600).

21642453061100 is an abundant number, since it is smaller than the sum of its proper divisors (28357952958100).

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

21642453061100 is a wasteful number, since it uses less digits than its factorization.

21642453061100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23232 (or 23225 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 21642453061100 its reverse (116035424612), we get a palindrome (21758488485712).

The spelling of 21642453061100 in words is "twenty-one trillion, six hundred forty-two billion, four hundred fifty-three million, sixty-one thousand, one hundred".