20006215680 has 672 divisors, whose sum is σ = 75502300608. Its totient is φ = 4482662400.

The previous prime is 20006215679. The next prime is 20006215709. The reversal of 20006215680 is 8651260002.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487956460 + ... + 487956500.

It is an arithmetic number, because the mean of its divisors is an integer number (112354614).

Almost surely, 2^20006215680 is an apocalyptic number.

20006215680 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 20006215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37751150304).

20006215680 is an abundant number, since it is smaller than the sum of its proper divisors (55496084928).

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

20006215680 is a wasteful number, since it uses less digits than its factorization.

20006215680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 20006215680 its reverse (8651260002), we get a palindrome (28657475682).

The spelling of 20006215680 in words is "twenty billion, six million, two hundred fifteen thousand, six hundred eighty".