20829180144640 has 352 divisors, whose sum is σ = 59389573662720. Its totient is φ = 6860432277504.

The previous prime is 20829180144631. The next prime is 20829180144691. The reversal of 20829180144640 is 4644108192802.

It is a super-2 number, since 2×20829180144640² (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 31 ways as a sum of consecutive naturals, for example, 104660907 + ... + 104859733.

Almost surely, 2^{20829180144640} is an apocalyptic number.

20829180144640 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 20829180144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29694786831360).

20829180144640 is an abundant number, since it is smaller than the sum of its proper divisors (38560393518080).

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

20829180144640 is a wasteful number, since it uses less digits than its factorization.

20829180144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198975 (or 198957 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

The spelling of 20829180144640 in words is "twenty trillion, eight hundred twenty-nine billion, one hundred eighty million, one hundred forty-four thousand, six hundred forty".