20652842364000 has 1536 divisors, whose sum is σ = 88221351149568. Its totient is φ = 4095590400000.

The previous prime is 20652842363983. The next prime is 20652842364013. The reversal of 20652842364000 is 46324825602.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12899963200 + ... + 12899964800.

It is an arithmetic number, because the mean of its divisors is an integer number (57435775488).

Almost surely, 2^{20652842364000} is an apocalyptic number.

20652842364000 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 20652842364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44110675574784).

20652842364000 is an abundant number, since it is smaller than the sum of its proper divisors (67568508785568).

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

20652842364000 is a wasteful number, since it uses less digits than its factorization.

20652842364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 20652842364000 in words is "twenty trillion, six hundred fifty-two billion, eight hundred forty-two million, three hundred sixty-four thousand".