20829368060160 has 432 divisors, whose sum is σ = 75160294372800. Its totient is φ = 4875413258240.

The previous prime is 20829368060113. The next prime is 20829368060201. The reversal of 20829368060160 is 6106086392802.

It is a super-2 number, since 2×20829368060160² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35230666 + ... + 35817014.

It is an arithmetic number, because the mean of its divisors is an integer number (173982162900).

Almost surely, 2^{20829368060160} is an apocalyptic number.

20829368060160 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 20829368060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37580147186400).

20829368060160 is an abundant number, since it is smaller than the sum of its proper divisors (54330926312640).

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

20829368060160 is a wasteful number, since it uses less digits than its factorization.

20829368060160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586442 (or 586399 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 20829368060160 in words is "twenty trillion, eight hundred twenty-nine billion, three hundred sixty-eight million, sixty thousand, one hundred sixty".