21813387110080 has 224 divisors, whose sum is σ = 55212353481600. Its totient is φ = 8180245463040.

The previous prime is 21813387110077. The next prime is 21813387110087. The reversal of 21813387110080 is 8001178331812.

It is not an unprimeable number, because it can be changed into a prime (21813387110087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1541248284 + ... + 1541262436.

It is an arithmetic number, because the mean of its divisors is an integer number (246483720900).

Almost surely, 2^{21813387110080} is an apocalyptic number.

21813387110080 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 21813387110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27606176740800).

21813387110080 is an abundant number, since it is smaller than the sum of its proper divisors (33398966371520).

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

21813387110080 is a wasteful number, since it uses less digits than its factorization.

21813387110080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15267 (or 15257 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 43.

The spelling of 21813387110080 in words is "twenty-one trillion, eight hundred thirteen billion, three hundred eighty-seven million, one hundred ten thousand, eighty".