20407998873600 has 648 divisors, whose sum is σ = 78730703224992. Its totient is φ = 5023413043200.

The previous prime is 20407998873599. The next prime is 20407998873601. The reversal of 20407998873600 is 637889970402.

20407998873600 is a `hidden beast` number, since 2 + 0 + 40 + 79 + 98 + 87 + 360 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20407998873599) and next prime (20407998873601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20407998873601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 383358985 + ... + 383412215.

It is an arithmetic number, because the mean of its divisors is an integer number (121497998804).

Almost surely, 2^{20407998873600} is an apocalyptic number.

20407998873600 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 20407998873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39365351612496).

20407998873600 is an abundant number, since it is smaller than the sum of its proper divisors (58322704351392).

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

20407998873600 is an equidigital number, since it uses as much as digits as its factorization.

20407998873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53294 (or 53254 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 20407998873600 in words is "twenty trillion, four hundred seven billion, nine hundred ninety-eight million, eight hundred seventy-three thousand, six hundred".