20000908800 has 600 divisors, whose sum is σ = 75149154432. Its totient is φ = 5253120000.

The previous prime is 20000908789. The next prime is 20000908841. The reversal of 20000908800 is 880900002.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 104716705 + ... + 104716895.

Almost surely, 2^20000908800 is an apocalyptic number.

20000908800 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 20000908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37574577216).

20000908800 is an abundant number, since it is smaller than the sum of its proper divisors (55148245632).

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

20000908800 is a wasteful number, since it uses less digits than its factorization.

20000908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 20000908800 in words is "twenty billion, nine hundred eight thousand, eight hundred".