20508480720 has 480 divisors, whose sum is σ = 87915539712. Its totient is φ = 4326690816.

The previous prime is 20508480719. The next prime is 20508480721. The reversal of 20508480720 is 2708480502.

It is a happy number.

20508480720 is a `hidden beast` number, since 2 + 0 + 508 + 4 + 80 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20508480719) and next prime (20508480721).

It is a super-2 number, since 2×20508480720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20508480721) 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, 1763244 + ... + 1774836.

Almost surely, 2^20508480720 is an apocalyptic number.

20508480720 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 20508480720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43957769856).

20508480720 is an abundant number, since it is smaller than the sum of its proper divisors (67407058992).

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

20508480720 is a wasteful number, since it uses less digits than its factorization.

20508480720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11641 (or 11623 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 20508480720 in words is "twenty billion, five hundred eight million, four hundred eighty thousand, seven hundred twenty".