20869905936000 has 1024 divisors, whose sum is σ = 77933014548480. Its totient is φ = 4896460800000.

The previous prime is 20869905935903. The next prime is 20869905936179. The reversal of 20869905936000 is 63950996802.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2749292205 + ... + 2749299795.

It is an arithmetic number, because the mean of its divisors is an integer number (76106459520).

Almost surely, 2^{20869905936000} is an apocalyptic number.

20869905936000 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 20869905936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38966507274240).

20869905936000 is an abundant number, since it is smaller than the sum of its proper divisors (57063108612480).

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

20869905936000 is a wasteful number, since it uses less digits than its factorization.

20869905936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7802 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 57.

The spelling of 20869905936000 in words is "twenty trillion, eight hundred sixty-nine billion, nine hundred five million, nine hundred thirty-six thousand".