20884483368000 has 2688 divisors, whose sum is σ = 94209616650240. Its totient is φ = 4476338380800.

The previous prime is 20884483367963. The next prime is 20884483368017. The reversal of 20884483368000 is 86338448802.

20884483368000 is a `hidden beast` number, since 2 + 0 + 8 + 84 + 483 + 3 + 6 + 80 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16588151371 + ... + 16588152629.

It is an arithmetic number, because the mean of its divisors is an integer number (35048220480).

Almost surely, 2^{20884483368000} is an apocalyptic number.

20884483368000 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 20884483368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47104808325120).

20884483368000 is an abundant number, since it is smaller than the sum of its proper divisors (73325133282240).

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

20884483368000 is a wasteful number, since it uses less digits than its factorization.

20884483368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 20884483368000 in words is "twenty trillion, eight hundred eighty-four billion, four hundred eighty-three million, three hundred sixty-eight thousand".