20470133376 has 1008 divisors, whose sum is σ = 80291659770. Its totient is φ = 5173217280.

The previous prime is 20470133363. The next prime is 20470133407. The reversal of 20470133376 is 67333107402.

20470133376 is a `hidden beast` number, since 20 + 470 + 133 + 37 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13554547776 + 6915585600 = 116424^2 + 83160^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20470133376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 553246830 + ... + 553246866.

Almost surely, 2^20470133376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20470133376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40145829885).

20470133376 is an abundant number, since it is smaller than the sum of its proper divisors (59821526394).

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

20470133376 is an equidigital number, since it uses as much as digits as its factorization.

20470133376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 20470133376 in words is "twenty billion, four hundred seventy million, one hundred thirty-three thousand, three hundred seventy-six".