20329959260160 has 1160 divisors, whose sum is σ = 84189948779376. Its totient is φ = 4638564679680.

The previous prime is 20329959260153. The next prime is 20329959260161. The reversal of 20329959260160 is 6106295992302.

It is a happy number.

20329959260160 is a `hidden beast` number, since 2 + 0 + 3 + 29 + 9 + 5 + 9 + 2 + 601 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20329959260097 and 20329959260106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20329959260161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1195879956472 + ... + 1195879956488.

Almost surely, 2^{20329959260160} is an apocalyptic number.

20329959260160 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 20329959260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42094974389688).

20329959260160 is an abundant number, since it is smaller than the sum of its proper divisors (63859989519216).

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

20329959260160 is an frugal number, since it uses more digits than its factorization.

20329959260160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 20329959260160 in words is "twenty trillion, three hundred twenty-nine billion, nine hundred fifty-nine million, two hundred sixty thousand, one hundred sixty".