20736189600 has 576 divisors, whose sum is σ = 81894758400. Its totient is φ = 4451880960.

The previous prime is 20736189583. The next prime is 20736189601. The reversal of 20736189600 is 698163702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (20736189601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53306206 + ... + 53306594.

It is an arithmetic number, because the mean of its divisors is an integer number (142178400).

Almost surely, 2^20736189600 is an apocalyptic number.

20736189600 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 20736189600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40947379200).

20736189600 is an abundant number, since it is smaller than the sum of its proper divisors (61158568800).

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

20736189600 is a wasteful number, since it uses less digits than its factorization.

20736189600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 20736189600 in words is "twenty billion, seven hundred thirty-six million, one hundred eighty-nine thousand, six hundred".