21909263358996 has 288 divisors, whose sum is σ = 63740209478400. Its totient is φ = 6285753815040.

The previous prime is 21909263358989. The next prime is 21909263359033. The reversal of 21909263358996 is 69985336290912.

21909263358996 is a `hidden beast` number, since 2 + 1 + 9 + 0 + 9 + 2 + 6 + 33 + 589 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 383060761 + ... + 383117951.

It is an arithmetic number, because the mean of its divisors is an integer number (221320171800).

Almost surely, 2^{21909263358996} is an apocalyptic number.

21909263358996 is a gapful number since it is divisible by the number (26) 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 21909263358996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31870104739200).

21909263358996 is an abundant number, since it is smaller than the sum of its proper divisors (41830946119404).

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

21909263358996 is a wasteful number, since it uses less digits than its factorization.

21909263358996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57679 (or 57674 counting only the distinct ones).

The product of its (nonzero) digits is 340122240, while the sum is 72.

The spelling of 21909263358996 in words is "twenty-one trillion, nine hundred nine billion, two hundred sixty-three million, three hundred fifty-eight thousand, nine hundred ninety-six".