20825768808000 has 1344 divisors, whose sum is σ = 86757586126848. Its totient is φ = 4721968742400.

The previous prime is 20825768807999. The next prime is 20825768808011. The reversal of 20825768808000 is 80886752802.

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, 747850077 + ... + 747877923.

It is an arithmetic number, because the mean of its divisors is an integer number (64551775392).

Almost surely, 2^{20825768808000} is an apocalyptic number.

20825768808000 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 20825768808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43378793063424).

20825768808000 is an abundant number, since it is smaller than the sum of its proper divisors (65931817318848).

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

20825768808000 is a wasteful number, since it uses less digits than its factorization.

20825768808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27957 (or 27934 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 20825768808000 in words is "twenty trillion, eight hundred twenty-five billion, seven hundred sixty-eight million, eight hundred eight thousand".