21350771161104 has 1440 divisors, whose sum is σ = 74967269216256. Its totient is φ = 5217791040000.

The previous prime is 21350771161099. The next prime is 21350771161133. The reversal of 21350771161104 is 40116117705312.

It is a happy number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 141395835429 + ... + 141395835579.

Almost surely, 2^{21350771161104} is an apocalyptic number.

21350771161104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21350771161104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37483634608128).

21350771161104 is an abundant number, since it is smaller than the sum of its proper divisors (53616498055152).

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

21350771161104 is a wasteful number, since it uses less digits than its factorization.

21350771161104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

Adding to 21350771161104 its reverse (40116117705312), we get a palindrome (61466888866416).

The spelling of 21350771161104 in words is "twenty-one trillion, three hundred fifty billion, seven hundred seventy-one million, one hundred sixty-one thousand, one hundred four".