21632142157110 has 96 divisors (see below), whose sum is σ = 56794796023680. Its totient is φ = 5712100902144.

The previous prime is 21632142157097. The next prime is 21632142157111. The reversal of 21632142157110 is 1175124123612.

21632142157110 is a `hidden beast` number, since 2 + 1 + 6 + 32 + 1 + 42 + 1 + 571 + 10 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21632142157111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15139987 + ... + 16507073.

It is an arithmetic number, because the mean of its divisors is an integer number (591612458580).

Almost surely, 2^{21632142157110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21632142157110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28397398011840).

21632142157110 is an abundant number, since it is smaller than the sum of its proper divisors (35162653866570).

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

21632142157110 is a wasteful number, since it uses less digits than its factorization.

21632142157110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368822 (or 1368819 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 21632142157110 in words is "twenty-one trillion, six hundred thirty-two billion, one hundred forty-two million, one hundred fifty-seven thousand, one hundred ten".