21107900208384 has 576 divisors, whose sum is σ = 68511177907200. Its totient is φ = 6357309235200.

The previous prime is 21107900208347. The next prime is 21107900208397. The reversal of 21107900208384 is 48380200970112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9538137262 + ... + 9538139474.

It is an arithmetic number, because the mean of its divisors is an integer number (118943017200).

Almost surely, 2^{21107900208384} is an apocalyptic number.

21107900208384 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 21107900208384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34255588953600).

21107900208384 is an abundant number, since it is smaller than the sum of its proper divisors (47403277698816).

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

21107900208384 is a wasteful number, since it uses less digits than its factorization.

21107900208384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 21107900208384 in words is "twenty-one trillion, one hundred seven billion, nine hundred million, two hundred eight thousand, three hundred eighty-four".