21251462164050 has 192 divisors, whose sum is σ = 58113757338624. Its totient is φ = 5115965030400.

The previous prime is 21251462164039. The next prime is 21251462164057. The reversal of 21251462164050 is 5046126415212.

It is a super-2 number, since 2×21251462164050² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21251462164057) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7743112 + ... + 10122188.

It is an arithmetic number, because the mean of its divisors is an integer number (302675819472).

Almost surely, 2^{21251462164050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21251462164050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29056878669312).

21251462164050 is an abundant number, since it is smaller than the sum of its proper divisors (36862295174574).

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

21251462164050 is a wasteful number, since it uses less digits than its factorization.

21251462164050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379253 (or 2379248 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

Adding to 21251462164050 its reverse (5046126415212), we get a palindrome (26297588579262).

The spelling of 21251462164050 in words is "twenty-one trillion, two hundred fifty-one billion, four hundred sixty-two million, one hundred sixty-four thousand, fifty".