21496796339200 has 1056 divisors, whose sum is σ = 68087050149888. Its totient is φ = 6546161664000.

The previous prime is 21496796339177. The next prime is 21496796339243. The reversal of 21496796339200 is 293369769412.

It is a super-2 number, since 2×21496796339200² (a number of 27 digits) contains 22 as substring.

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 14226866445 + ... + 14226867955.

It is an arithmetic number, because the mean of its divisors is an integer number (64476373248).

Almost surely, 2^{21496796339200} is an apocalyptic number.

21496796339200 is a gapful number since it is divisible by the number (20) 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 21496796339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34043525074944).

21496796339200 is an abundant number, since it is smaller than the sum of its proper divisors (46590253810688).

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

21496796339200 is a wasteful number, since it uses less digits than its factorization.

21496796339200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 61.

The spelling of 21496796339200 in words is "twenty-one trillion, four hundred ninety-six billion, seven hundred ninety-six million, three hundred thirty-nine thousand, two hundred".