21792210048 has 192 divisors, whose sum is σ = 71762483520. Its totient is φ = 6218127360.

The previous prime is 21792210029. The next prime is 21792210059. The reversal of 21792210048 is 84001229712.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21792209994 and 21792210021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8796586 + ... + 8799062.

It is an arithmetic number, because the mean of its divisors is an integer number (373762935).

Almost surely, 2^21792210048 is an apocalyptic number.

21792210048 is a gapful number since it is divisible by the number (28) 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 21792210048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35881241760).

21792210048 is an abundant number, since it is smaller than the sum of its proper divisors (49970273472).

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

21792210048 is a wasteful number, since it uses less digits than its factorization.

21792210048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3595 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 21792210048 in words is "twenty-one billion, seven hundred ninety-two million, two hundred ten thousand, forty-eight".