20088432000 has 1536 divisors, whose sum is σ = 93963542400. Its totient is φ = 4180377600.

The previous prime is 20088431999. The next prime is 20088432031. The reversal of 20088432000 is 23488002.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 275183964 + ... + 275184036.

Almost surely, 2^20088432000 is an apocalyptic number.

20088432000 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 20088432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46981771200).

20088432000 is an abundant number, since it is smaller than the sum of its proper divisors (73875110400).

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

20088432000 is a wasteful number, since it uses less digits than its factorization.

20088432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 20088432000 in words is "twenty billion, eighty-eight million, four hundred thirty-two thousand".