20083507200 has 432 divisors, whose sum is σ = 74113068960. Its totient is φ = 5332008960.

The previous prime is 20083507187. The next prime is 20083507217. The reversal of 20083507200 is 270538002.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×20083507200² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88473487 + ... + 88473713.

It is an arithmetic number, because the mean of its divisors is an integer number (171558030).

Almost surely, 2^20083507200 is an apocalyptic number.

20083507200 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 20083507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37056534480).

20083507200 is an abundant number, since it is smaller than the sum of its proper divisors (54029561760).

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

20083507200 is an frugal number, since it uses more digits than its factorization.

20083507200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 20083507200 in words is "twenty billion, eighty-three million, five hundred seven thousand, two hundred".