21323795840256 has 1152 divisors, whose sum is σ = 78293376000000. Its totient is φ = 5095861714944.

The previous prime is 21323795840239. The next prime is 21323795840267. The reversal of 21323795840256 is 65204859732312.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 21323795840196 and 21323795840205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1496504620 + ... + 1496518868.

It is an arithmetic number, because the mean of its divisors is an integer number (67963000000).

It is a 1-persistent number, because it is pandigital, but 2⋅21323795840256 = 42647591680512 is not.

Almost surely, 2^{21323795840256} is an apocalyptic number.

21323795840256 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 21323795840256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39146688000000).

21323795840256 is an abundant number, since it is smaller than the sum of its proper divisors (56969580159744).

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

21323795840256 is a wasteful number, since it uses less digits than its factorization.

21323795840256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14344 (or 14316 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 21323795840256 in words is "twenty-one trillion, three hundred twenty-three billion, seven hundred ninety-five million, eight hundred forty thousand, two hundred fifty-six".