21706483970304 has 504 divisors, whose sum is σ = 74616885526400. Its totient is φ = 6170613571584.

The previous prime is 21706483970287. The next prime is 21706483970309. The reversal of 21706483970304 is 40307938460712.

21706483970304 is a `hidden beast` number, since 2 + 1 + 70 + 6 + 483 + 97 + 0 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is not an unprimeable number, because it can be changed into a prime (21706483970309) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 259925484 + ... + 260008980.

Almost surely, 2^{21706483970304} is an apocalyptic number.

21706483970304 is a gapful number since it is divisible by the number (24) 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 21706483970304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37308442763200).

21706483970304 is an abundant number, since it is smaller than the sum of its proper divisors (52910401556096).

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

21706483970304 is an frugal number, since it uses more digits than its factorization.

21706483970304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83737 (or 83708 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 21706483970304 in words is "twenty-one trillion, seven hundred six billion, four hundred eighty-three million, nine hundred seventy thousand, three hundred four".