20900307830400 has 1536 divisors, whose sum is σ = 84533160960000. Its totient is φ = 5022425088000.

The previous prime is 20900307830387. The next prime is 20900307830407. The reversal of 20900307830400 is 403870300902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20900307830407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3002482920 + ... + 3002489880.

It is an arithmetic number, because the mean of its divisors is an integer number (55034610000).

Almost surely, 2^{20900307830400} is an apocalyptic number.

20900307830400 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 20900307830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42266580480000).

20900307830400 is an abundant number, since it is smaller than the sum of its proper divisors (63632853129600).

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

20900307830400 is a wasteful number, since it uses less digits than its factorization.

20900307830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7103 (or 7080 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 20900307830400 in words is "twenty trillion, nine hundred billion, three hundred seven million, eight hundred thirty thousand, four hundred".