20874801829968 has 240 divisors, whose sum is σ = 60169807885824. Its totient is φ = 6751805276160.

The previous prime is 20874801829961. The next prime is 20874801830017. The reversal of 20874801829968 is 86992810847802.

20874801829968 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 480 + 1 + 82 + 9 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 20874801829896 and 20874801829905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20874801829961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1531189680 + ... + 1531203312.

Almost surely, 2^{20874801829968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20874801829968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30084903942912).

20874801829968 is an abundant number, since it is smaller than the sum of its proper divisors (39295006055856).

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

20874801829968 is a wasteful number, since it uses less digits than its factorization.

20874801829968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15074 (or 15065 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 20874801829968 in words is "twenty trillion, eight hundred seventy-four billion, eight hundred one million, eight hundred twenty-nine thousand, nine hundred sixty-eight".