20705160072 has 64 divisors (see below), whose sum is σ = 52461518400. Its totient is φ = 6808919040.

The previous prime is 20705160061. The next prime is 20705160079. The reversal of 20705160072 is 27006150702.

It is a super-3 number, since 3×20705160072³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20705160079) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 965547 + ... + 986757.

It is an arithmetic number, because the mean of its divisors is an integer number (819711225).

Almost surely, 2^20705160072 is an apocalyptic number.

It is an amenable number.

20705160072 is an abundant number, since it is smaller than the sum of its proper divisors (31756358328).

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

20705160072 is a wasteful number, since it uses less digits than its factorization.

20705160072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21766 (or 21762 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The spelling of 20705160072 in words is "twenty billion, seven hundred five million, one hundred sixty thousand, seventy-two".