20478510080 has 704 divisors, whose sum is σ = 65792217600. Its totient is φ = 5945425920.

The previous prime is 20478510067. The next prime is 20478510121. The reversal of 20478510080 is 8001587402.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 20478510080.

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 63 ways as a sum of consecutive naturals, for example, 335713250 + ... + 335713310.

Almost surely, 2^20478510080 is an apocalyptic number.

20478510080 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 20478510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32896108800).

20478510080 is an abundant number, since it is smaller than the sum of its proper divisors (45313707520).

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

20478510080 is a wasteful number, since it uses less digits than its factorization.

20478510080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The spelling of 20478510080 in words is "twenty billion, four hundred seventy-eight million, five hundred ten thousand, eighty".