20664483840000 has 3600 divisors, whose sum is σ = 101947838592600. Its totient is φ = 3963617280000.

The previous prime is 20664483839971. The next prime is 20664483840019. The reversal of 20664483840000 is 4838446602.

20664483840000 is a `hidden beast` number, since 206 + 6 + 4 + 4 + 8 + 38 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a super-2 number, since 2×20664483840000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1589575679994 + ... + 1589575680006.

Almost surely, 2^{20664483840000} is an apocalyptic number.

20664483840000 is a gapful number since it is divisible by the number (20) 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 20664483840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50973919296300).

20664483840000 is an abundant number, since it is smaller than the sum of its proper divisors (81283354752600).

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

20664483840000 is an frugal number, since it uses more digits than its factorization.

20664483840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 20664483840000 in words is "twenty trillion, six hundred sixty-four billion, four hundred eighty-three million, eight hundred forty thousand".