20020564239840 has 288 divisors, whose sum is σ = 71929520208000. Its totient is φ = 5056874081280.

The previous prime is 20020564239829. The next prime is 20020564239881. The reversal of 20020564239840 is 4893246502002.

20020564239840 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 0 + 564 + 2 + 3 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 151262011 + ... + 151394309.

It is an arithmetic number, because the mean of its divisors is an integer number (249755278500).

Almost surely, 2^{20020564239840} is an apocalyptic number.

20020564239840 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 20020564239840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35964760104000).

20020564239840 is an abundant number, since it is smaller than the sum of its proper divisors (51908955968160).

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

20020564239840 is a wasteful number, since it uses less digits than its factorization.

20020564239840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137870 (or 137859 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 20020564239840 in words is "twenty trillion, twenty billion, five hundred sixty-four million, two hundred thirty-nine thousand, eight hundred forty".