20168029513296 has 320 divisors, whose sum is σ = 66337811251200. Its totient is φ = 5746792955904.

The previous prime is 20168029513283. The next prime is 20168029513397. The reversal of 20168029513296 is 69231592086102.

20168029513296 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 80 + 29 + 513 + 29 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4660970685 + ... + 4660975011.

It is an arithmetic number, because the mean of its divisors is an integer number (207305660160).

Almost surely, 2^{20168029513296} 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 20168029513296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33168905625600).

20168029513296 is an abundant number, since it is smaller than the sum of its proper divisors (46169781737904).

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

20168029513296 is a wasteful number, since it uses less digits than its factorization.

20168029513296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8143 (or 8131 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 20168029513296 in words is "twenty trillion, one hundred sixty-eight billion, twenty-nine million, five hundred thirteen thousand, two hundred ninety-six".