21652416454032 has 240 divisors, whose sum is σ = 74705081068800. Its totient is φ = 5700991915008.

The previous prime is 21652416454021. The next prime is 21652416454111. The reversal of 21652416454032 is 23045461425612.

It is a happy number.

21652416454032 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 2 + 41 + 64 + 540 + 3 + 2 = 666.

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, 6470038 + ... + 9228554.

It is an arithmetic number, because the mean of its divisors is an integer number (311271171120).

Almost surely, 2^{21652416454032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21652416454032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37352540534400).

21652416454032 is an abundant number, since it is smaller than the sum of its proper divisors (53052664614768).

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

21652416454032 is a wasteful number, since it uses less digits than its factorization.

21652416454032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759150 (or 2759141 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

Adding to 21652416454032 its reverse (23045461425612), we get a palindrome (44697877879644).

The spelling of 21652416454032 in words is "twenty-one trillion, six hundred fifty-two billion, four hundred sixteen million, four hundred fifty-four thousand, thirty-two".