20536765600 has 288 divisors, whose sum is σ = 58179401280. Its totient is φ = 7013744640.

The previous prime is 20536765597. The next prime is 20536765609. The reversal of 20536765600 is 656763502.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (20536765609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8495592 + ... + 8498008.

It is an arithmetic number, because the mean of its divisors is an integer number (202011810).

Almost surely, 2^20536765600 is an apocalyptic number.

20536765600 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 20536765600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29089700640).

20536765600 is an abundant number, since it is smaller than the sum of its proper divisors (37642635680).

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

20536765600 is a wasteful number, since it uses less digits than its factorization.

20536765600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 40.

The spelling of 20536765600 in words is "twenty billion, five hundred thirty-six million, seven hundred sixty-five thousand, six hundred".