20707686130000 has 200 divisors, whose sum is σ = 50538850822152. Its totient is φ = 8216592384000.

The previous prime is 20707686129947. The next prime is 20707686130009. The reversal of 20707686130000 is 3168670702.

It can be written as a sum of positive squares in 20 ways, for example, as 14739886633536 + 5967799496464 = 3839256^2 + 2442908^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20707686130009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 968679312 + ... + 968700688.

Almost surely, 2^{20707686130000} is an apocalyptic number.

20707686130000 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 20707686130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25269425411076).

20707686130000 is an abundant number, since it is smaller than the sum of its proper divisors (29831164692152).

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

20707686130000 is a wasteful number, since it uses less digits than its factorization.

20707686130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22179 (or 22158 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 20707686130000 in words is "twenty trillion, seven hundred seven billion, six hundred eighty-six million, one hundred thirty thousand".