20132629360800 has 1152 divisors, whose sum is σ = 74802924306432. Its totient is φ = 4659142656000.

The previous prime is 20132629360759. The next prime is 20132629360801. The reversal of 20132629360800 is 806392623102.

It is not an unprimeable number, because it can be changed into a prime (20132629360801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27096405229 + ... + 27096405971.

It is an arithmetic number, because the mean of its divisors is an integer number (64933094016).

Almost surely, 2^{20132629360800} is an apocalyptic number.

20132629360800 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 20132629360800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37401462153216).

20132629360800 is an abundant number, since it is smaller than the sum of its proper divisors (54670294945632).

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

20132629360800 is a wasteful number, since it uses less digits than its factorization.

20132629360800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 20132629360800 in words is "twenty trillion, one hundred thirty-two billion, six hundred twenty-nine million, three hundred sixty thousand, eight hundred".