20170375680 has 1280 divisors, whose sum is σ = 87994368000. Its totient is φ = 3901685760.

The previous prime is 20170375639. The next prime is 20170375681. The reversal of 20170375680 is 8657307102.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20170375681) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 650657265 + ... + 650657295.

It is an arithmetic number, because the mean of its divisors is an integer number (68745600).

Almost surely, 2^20170375680 is an apocalyptic number.

20170375680 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 20170375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43997184000).

20170375680 is an abundant number, since it is smaller than the sum of its proper divisors (67823992320).

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

20170375680 is a wasteful number, since it uses less digits than its factorization.

20170375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 20170375680 in words is "twenty billion, one hundred seventy million, three hundred seventy-five thousand, six hundred eighty".