20456812376800 has 288 divisors, whose sum is σ = 50988509589024. Its totient is φ = 8012989440000.

The previous prime is 20456812376729. The next prime is 20456812376801. The reversal of 20456812376800 is 867321865402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20456812376801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6683047270 + ... + 6683050330.

It is an arithmetic number, because the mean of its divisors is an integer number (177043436073).

Almost surely, 2^{20456812376800} is an apocalyptic number.

20456812376800 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 20456812376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25494254794512).

20456812376800 is an abundant number, since it is smaller than the sum of its proper divisors (30531697212224).

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

20456812376800 is a wasteful number, since it uses less digits than its factorization.

20456812376800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 20456812376800 in words is "twenty trillion, four hundred fifty-six billion, eight hundred twelve million, three hundred seventy-six thousand, eight hundred".