20659937760 has 1152 divisors, whose sum is σ = 93412859904. Its totient is φ = 4187842560.

The previous prime is 20659937737. The next prime is 20659937797. The reversal of 20659937760 is 6773995602.

20659937760 is a `hidden beast` number, since 206 + 5 + 9 + 9 + 377 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20659937697 and 20659937706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 200581869 + ... + 200581971.

It is an arithmetic number, because the mean of its divisors is an integer number (81087552).

Almost surely, 2^20659937760 is an apocalyptic number.

20659937760 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 20659937760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46706429952).

20659937760 is an abundant number, since it is smaller than the sum of its proper divisors (72752922144).

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

20659937760 is a wasteful number, since it uses less digits than its factorization.

20659937760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 20659937760 in words is "twenty billion, six hundred fifty-nine million, nine hundred thirty-seven thousand, seven hundred sixty".