20330047428544 has 224 divisors, whose sum is σ = 47853888316416. Its totient is φ = 8387642327040.

The previous prime is 20330047428517. The next prime is 20330047428631. The reversal of 20330047428544 is 44582474003302.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 20330047428494 and 20330047428503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2190497184 + ... + 2190506464.

It is an arithmetic number, because the mean of its divisors is an integer number (213633429984).

Almost surely, 2^{20330047428544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20330047428544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23926944158208).

20330047428544 is an abundant number, since it is smaller than the sum of its proper divisors (27523840887872).

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

20330047428544 is a wasteful number, since it uses less digits than its factorization.

20330047428544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10723 (or 10713 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 46.

The spelling of 20330047428544 in words is "twenty trillion, three hundred thirty billion, forty-seven million, four hundred twenty-eight thousand, five hundred forty-four".