20850452098800 has 1440 divisors, whose sum is σ = 74767214592000. Its totient is φ = 4953679441920.

The previous prime is 20850452098771. The next prime is 20850452098829. The reversal of 20850452098800 is 889025405802.

It is an interprime number because it is at equal distance from previous prime (20850452098771) and next prime (20850452098829).

It is a super-2 number, since 2×20850452098800² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 104776141101 + ... + 104776141299.

It is an arithmetic number, because the mean of its divisors is an integer number (51921676800).

Almost surely, 2^{20850452098800} is an apocalyptic number.

20850452098800 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 20850452098800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37383607296000).

20850452098800 is an abundant number, since it is smaller than the sum of its proper divisors (53916762493200).

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

20850452098800 is a wasteful number, since it uses less digits than its factorization.

20850452098800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The spelling of 20850452098800 in words is "twenty trillion, eight hundred fifty billion, four hundred fifty-two million, ninety-eight thousand, eight hundred".