21354727216410 has 384 divisors, whose sum is σ = 69565106257920. Its totient is φ = 4604319023616.

The previous prime is 21354727216397. The next prime is 21354727216519. The reversal of 21354727216410 is 1461272745312.

21354727216410 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 472 + 7 + 2 + 164 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75161479 + ... + 75445061.

It is an arithmetic number, because the mean of its divisors is an integer number (181159130880).

Almost surely, 2^{21354727216410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21354727216410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34782553128960).

21354727216410 is an abundant number, since it is smaller than the sum of its proper divisors (48210379041510).

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

21354727216410 is a wasteful number, since it uses less digits than its factorization.

21354727216410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283864 (or 283852 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 21354727216410 in words is "twenty-one trillion, three hundred fifty-four billion, seven hundred twenty-seven million, two hundred sixteen thousand, four hundred ten".