20807627200 has 84 divisors (see below), whose sum is σ = 51964211032. Its totient is φ = 8198784000.

The previous prime is 20807627179. The next prime is 20807627221. The reversal of 20807627200 is 272670802.

It is an interprime number because it is at equal distance from previous prime (20807627179) and next prime (20807627221).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10150 + ... + 204250.

Almost surely, 2^20807627200 is an apocalyptic number.

20807627200 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 20807627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25982105516).

20807627200 is an abundant number, since it is smaller than the sum of its proper divisors (31156583832).

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

20807627200 is a wasteful number, since it uses less digits than its factorization.

20807627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194190 (or 194175 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The spelling of 20807627200 in words is "twenty billion, eight hundred seven million, six hundred twenty-seven thousand, two hundred".