21150023044416 has 224 divisors, whose sum is σ = 64868472345600. Its totient is φ = 5956747689984.

The previous prime is 21150023044399. The next prime is 21150023044439. The reversal of 21150023044416 is 61444032005112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49875715 + ... + 50297981.

It is an arithmetic number, because the mean of its divisors is an integer number (289591394400).

Almost surely, 2^{21150023044416} 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 21150023044416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32434236172800).

21150023044416 is an abundant number, since it is smaller than the sum of its proper divisors (43718449301184).

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

21150023044416 is a wasteful number, since it uses less digits than its factorization.

21150023044416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422821 (or 422811 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 21150023044416 its reverse (61444032005112), we get a palindrome (82594055049528).

The spelling of 21150023044416 in words is "twenty-one trillion, one hundred fifty billion, twenty-three million, forty-four thousand, four hundred sixteen".