21980831263848 has 576 divisors, whose sum is σ = 69125057726400. Its totient is φ = 6511602493440.

The previous prime is 21980831263843. The next prime is 21980831263861. The reversal of 21980831263848 is 84836213808912.

21980831263848 is a `hidden beast` number, since 219 + 8 + 0 + 8 + 31 + 2 + 6 + 384 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (21980831263843) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5611647586 + ... + 5611651502.

It is an arithmetic number, because the mean of its divisors is an integer number (120008780775).

Almost surely, 2^{21980831263848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21980831263848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34562528863200).

21980831263848 is an abundant number, since it is smaller than the sum of its proper divisors (47144226462552).

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

21980831263848 is a wasteful number, since it uses less digits than its factorization.

21980831263848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 21980831263848 in words is "twenty-one trillion, nine hundred eighty billion, eight hundred thirty-one million, two hundred sixty-three thousand, eight hundred forty-eight".