20289313900800 has 1080 divisors, whose sum is σ = 88501976955392. Its totient is φ = 4487933952000.

The previous prime is 20289313900799. The next prime is 20289313900841. The reversal of 20289313900800 is 800931398202.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×20289313900800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 112402620 + ... + 112582980.

Almost surely, 2^{20289313900800} is an apocalyptic number.

20289313900800 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 20289313900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44250988477696).

20289313900800 is an abundant number, since it is smaller than the sum of its proper divisors (68212663054592).

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

20289313900800 is a wasteful number, since it uses less digits than its factorization.

20289313900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180437 (or 180409 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 20289313900800 in words is "twenty trillion, two hundred eighty-nine billion, three hundred thirteen million, nine hundred thousand, eight hundred".