20512406720 has 224 divisors, whose sum is σ = 56339841600. Its totient is φ = 7046037504.

The previous prime is 20512406713. The next prime is 20512406741. The reversal of 20512406720 is 2760421502.

It is a happy number.

It is a super-3 number, since 3×20512406720³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6292451 + ... + 6295709.

It is an arithmetic number, because the mean of its divisors is an integer number (251517150).

Almost surely, 2^20512406720 is an apocalyptic number.

20512406720 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 20512406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28169920800).

20512406720 is an abundant number, since it is smaller than the sum of its proper divisors (35827434880).

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

20512406720 is a wasteful number, since it uses less digits than its factorization.

20512406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The spelling of 20512406720 in words is "twenty billion, five hundred twelve million, four hundred six thousand, seven hundred twenty".