20765140200 has 288 divisors, whose sum is σ = 80120913600. Its totient is φ = 4721172480.

The previous prime is 20765140189. The next prime is 20765140241. The reversal of 20765140200 is 204156702.

20765140200 is a `hidden beast` number, since 2 + 0 + 7 + 651 + 4 + 0 + 2 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2427531 + ... + 2436069.

Almost surely, 2^20765140200 is an apocalyptic number.

20765140200 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 20765140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40060456800).

20765140200 is an abundant number, since it is smaller than the sum of its proper divisors (59355773400).

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

20765140200 is a wasteful number, since it uses less digits than its factorization.

20765140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8761 (or 8749 counting only the distinct ones).

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

Adding to 20765140200 its reverse (204156702), we get a palindrome (20969296902).

The spelling of 20765140200 in words is "twenty billion, seven hundred sixty-five million, one hundred forty thousand, two hundred".