20476558080 has 576 divisors, whose sum is σ = 80659837440. Its totient is φ = 4877107200.

The previous prime is 20476558057. The next prime is 20476558097. The reversal of 20476558080 is 8085567402.

20476558080 is a `hidden beast` number, since 2 + 0 + 4 + 7 + 65 + 580 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×20476558080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23189319 + ... + 23190201.

It is an arithmetic number, because the mean of its divisors is an integer number (140034440).

Almost surely, 2^20476558080 is an apocalyptic number.

20476558080 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 20476558080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40329918720).

20476558080 is an abundant number, since it is smaller than the sum of its proper divisors (60183279360).

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

20476558080 is a wasteful number, since it uses less digits than its factorization.

20476558080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 20476558080 in words is "twenty billion, four hundred seventy-six million, five hundred fifty-eight thousand, eighty".