21683260230912 has 1728 divisors, whose sum is σ = 80996557824000. Its totient is φ = 5644226396160.

The previous prime is 21683260230859. The next prime is 21683260230913. The reversal of 21683260230912 is 21903206238612.

21683260230912 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 3 + 2 + 602 + 30 + 9 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21683260230913) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60399053389 + ... + 60399053747.

It is an arithmetic number, because the mean of its divisors is an integer number (46873008000).

Almost surely, 2^{21683260230912} 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 21683260230912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40498278912000).

21683260230912 is an abundant number, since it is smaller than the sum of its proper divisors (59313297593088).

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

21683260230912 is a wasteful number, since it uses less digits than its factorization.

21683260230912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 21683260230912 in words is "twenty-one trillion, six hundred eighty-three billion, two hundred sixty million, two hundred thirty thousand, nine hundred twelve".