20782134160 has 40 divisors (see below), whose sum is σ = 51160727736. Its totient is φ = 7823861760.

The previous prime is 20782134073. The next prime is 20782134187. The reversal of 20782134160 is 6143128702.

It can be written as a sum of positive squares in 4 ways, for example, as 764411904 + 20017722256 = 27648^2 + 141484^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (34).

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 7 ways as a sum of consecutive naturals, for example, 7639131 + ... + 7641850.

Almost surely, 2^20782134160 is an apocalyptic number.

20782134160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20782134160 is an abundant number, since it is smaller than the sum of its proper divisors (30378593576).

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

20782134160 is a wasteful number, since it uses less digits than its factorization.

20782134160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15281011 (or 15281005 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 20782134160 in words is "twenty billion, seven hundred eighty-two million, one hundred thirty-four thousand, one hundred sixty".