20629836469200 has 1440 divisors, whose sum is σ = 81881991776640. Its totient is φ = 4414478745600.

The previous prime is 20629836469199. The next prime is 20629836469223. The reversal of 20629836469200 is 296463892602.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 51964323402 + ... + 51964323798.

Almost surely, 2^{20629836469200} is an apocalyptic number.

20629836469200 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 20629836469200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40940995888320).

20629836469200 is an abundant number, since it is smaller than the sum of its proper divisors (61252155307440).

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

20629836469200 is a wasteful number, since it uses less digits than its factorization.

20629836469200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 57.

The spelling of 20629836469200 in words is "twenty trillion, six hundred twenty-nine billion, eight hundred thirty-six million, four hundred sixty-nine thousand, two hundred".