20006107882992 has 480 divisors, whose sum is σ = 71174233128960. Its totient is φ = 5094915770880.

The previous prime is 20006107882967. The next prime is 20006107882993. The reversal of 20006107882992 is 29928870160002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20006107882993) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 250515613 + ... + 250595459.

It is an arithmetic number, because the mean of its divisors is an integer number (148279652352).

Almost surely, 2^{20006107882992} is an apocalyptic number.

20006107882992 is a gapful number since it is divisible by the number (22) 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 20006107882992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35587116564480).

20006107882992 is an abundant number, since it is smaller than the sum of its proper divisors (51168125245968).

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

20006107882992 is a wasteful number, since it uses less digits than its factorization.

20006107882992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80321 (or 80312 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 20006107882992 in words is "twenty trillion, six billion, one hundred seven million, eight hundred eighty-two thousand, nine hundred ninety-two".