20085576000 has 224 divisors, whose sum is σ = 75797859072. Its totient is φ = 4590950400.

The previous prime is 20085575987. The next prime is 20085576019. The reversal of 20085576000 is 67558002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 108222 + ... + 227778.

Almost surely, 2^20085576000 is an apocalyptic number.

20085576000 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 20085576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37898929536).

20085576000 is an abundant number, since it is smaller than the sum of its proper divisors (55712283072).

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

20085576000 is a wasteful number, since it uses less digits than its factorization.

20085576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119594 (or 119574 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 20085576000 in words is "twenty billion, eighty-five million, five hundred seventy-six thousand".