21303866723328 has 1320 divisors, whose sum is σ = 78641082207072. Its totient is φ = 5708054790144.

The previous prime is 21303866723309. The next prime is 21303866723357. The reversal of 21303866723328 is 82332766830312.

21303866723328 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 386 + 6 + 7 + 233 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34753452750 + ... + 34753453362.

Almost surely, 2^{21303866723328} is an apocalyptic number.

21303866723328 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 21303866723328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39320541103536).

21303866723328 is an abundant number, since it is smaller than the sum of its proper divisors (57337215483744).

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

21303866723328 is a wasteful number, since it uses less digits than its factorization.

21303866723328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 21303866723328 in words is "twenty-one trillion, three hundred three billion, eight hundred sixty-six million, seven hundred twenty-three thousand, three hundred twenty-eight".