20700068178080 has 96 divisors (see below), whose sum is σ = 49417276865040. Its totient is φ = 8193205043200.

The previous prime is 20700068178073. The next prime is 20700068178113. The reversal of 20700068178080 is 8087186000702.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 20451414360976 + 248653817104 = 4522324^2 + 498652^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27046106 + ... + 27800934.

Almost surely, 2^{20700068178080} is an apocalyptic number.

20700068178080 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 20700068178080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24708638432520).

20700068178080 is an abundant number, since it is smaller than the sum of its proper divisors (28717208686960).

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

20700068178080 is a wasteful number, since it uses less digits than its factorization.

20700068178080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756642 (or 756634 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 47.

The spelling of 20700068178080 in words is "twenty trillion, seven hundred billion, sixty-eight million, one hundred seventy-eight thousand, eighty".