20029564638720 has 1920 divisors, whose sum is σ = 91034573414400. Its totient is φ = 4135675428864.

The previous prime is 20029564638689. The next prime is 20029564638739. The reversal of 20029564638720 is 2783646592002.

20029564638720 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 9 + 564 + 6 + 3 + 8 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2069378841 + ... + 2069388519.

It is an arithmetic number, because the mean of its divisors is an integer number (47413840320).

Almost surely, 2^{20029564638720} is an apocalyptic number.

20029564638720 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 20029564638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45517286707200).

20029564638720 is an abundant number, since it is smaller than the sum of its proper divisors (71005008775680).

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

20029564638720 is a wasteful number, since it uses less digits than its factorization.

20029564638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9785 (or 9756 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 20029564638720 in words is "twenty trillion, twenty-nine billion, five hundred sixty-four million, six hundred thirty-eight thousand, seven hundred twenty".