20205504000 has 640 divisors, whose sum is σ = 81504783360. Its totient is φ = 4893696000.

The previous prime is 20205503999. The next prime is 20205504061. The reversal of 20205504000 is 40550202.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19007469 + ... + 19008531.

It is an arithmetic number, because the mean of its divisors is an integer number (127351224).

Almost surely, 2^20205504000 is an apocalyptic number.

20205504000 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 20205504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40752391680).

20205504000 is an abundant number, since it is smaller than the sum of its proper divisors (61299279360).

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

20205504000 is a wasteful number, since it uses less digits than its factorization.

20205504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The spelling of 20205504000 in words is "twenty billion, two hundred five million, five hundred four thousand".