21117792119424 has 1536 divisors, whose sum is σ = 79965514137600. Its totient is φ = 4847844556800.

The previous prime is 21117792119419. The next prime is 21117792119441. The reversal of 21117792119424 is 42491129771112.

It is a super-2 number, since 2×21117792119424² (a number of 27 digits) contains 22 as substring.

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, 9909802839 + ... + 9909804969.

It is an arithmetic number, because the mean of its divisors is an integer number (52060881600).

Almost surely, 2^{21117792119424} is an apocalyptic number.

21117792119424 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 21117792119424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39982757068800).

21117792119424 is an abundant number, since it is smaller than the sum of its proper divisors (58847722018176).

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

21117792119424 is a wasteful number, since it uses less digits than its factorization.

21117792119424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 2323 counting only the distinct ones).

The product of its digits is 508032, while the sum is 51.

The spelling of 21117792119424 in words is "twenty-one trillion, one hundred seventeen billion, seven hundred ninety-two million, one hundred nineteen thousand, four hundred twenty-four".