20116815409152 has 3120 divisors, whose sum is σ = 81871033381632. Its totient is φ = 4855926620160.

The previous prime is 20116815409109. The next prime is 20116815409153. The reversal of 20116815409152 is 25190451861102.

20116815409152 is a `hidden beast` number, since 2 + 0 + 1 + 16 + 8 + 1 + 540 + 91 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20116815409098 and 20116815409107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20116815409153) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 275572813788 + ... + 275572813860.

Almost surely, 2^{20116815409152} is an apocalyptic number.

20116815409152 is a gapful number since it is divisible by the number (22) 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 20116815409152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40935516690816).

20116815409152 is an abundant number, since it is smaller than the sum of its proper divisors (61754217972480).

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

20116815409152 is a wasteful number, since it uses less digits than its factorization.

20116815409152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 20116815409152 in words is "twenty trillion, one hundred sixteen billion, eight hundred fifteen million, four hundred nine thousand, one hundred fifty-two".