20632561320 has 320 divisors, whose sum is σ = 76030344000. Its totient is φ = 4466617344.

The previous prime is 20632561303. The next prime is 20632561321. The reversal of 20632561320 is 2316523602.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (20632561321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5472396 + ... + 5476164.

It is an arithmetic number, because the mean of its divisors is an integer number (237594825).

Almost surely, 2^20632561320 is an apocalyptic number.

20632561320 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 20632561320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38015172000).

20632561320 is an abundant number, since it is smaller than the sum of its proper divisors (55397782680).

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

20632561320 is a wasteful number, since it uses less digits than its factorization.

20632561320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 20632561320 in words is "twenty billion, six hundred thirty-two million, five hundred sixty-one thousand, three hundred twenty".