20906847964800 has 1536 divisors, whose sum is σ = 93310670592000. Its totient is φ = 4465001594880.

The previous prime is 20906847964747. The next prime is 20906847964841. The reversal of 20906847964800 is 846974860902.

20906847964800 is a `hidden beast` number, since 2 + 0 + 9 + 0 + 6 + 84 + 79 + 6 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 838845139 + ... + 838870061.

It is an arithmetic number, because the mean of its divisors is an integer number (60749134500).

Almost surely, 2^{20906847964800} is an apocalyptic number.

20906847964800 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 20906847964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46655335296000).

20906847964800 is an abundant number, since it is smaller than the sum of its proper divisors (72403822627200).

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

20906847964800 is a wasteful number, since it uses less digits than its factorization.

20906847964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25055 (or 25032 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 20906847964800 in words is "twenty trillion, nine hundred six billion, eight hundred forty-seven million, nine hundred sixty-four thousand, eight hundred".