20058508080 has 480 divisors, whose sum is σ = 78911449344. Its totient is φ = 4520116224.

The previous prime is 20058508037. The next prime is 20058508111. The reversal of 20058508080 is 8080585002.

20058508080 is a `hidden beast` number, since 20 + 0 + 58 + 508 + 0 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5885737 + ... + 5889143.

Almost surely, 2^20058508080 is an apocalyptic number.

20058508080 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 20058508080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39455724672).

20058508080 is an abundant number, since it is smaller than the sum of its proper divisors (58852941264).

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

20058508080 is a wasteful number, since it uses less digits than its factorization.

20058508080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 20058508080 in words is "twenty billion, fifty-eight million, five hundred eight thousand, eighty".