13802632009320 has 2048 divisors, whose sum is σ = 59640352358400. Its totient is φ = 2485771960320.

The previous prime is 13802632009307. The next prime is 13802632009321. The reversal of 13802632009320 is 2390023620831.

It is not an unprimeable number, because it can be changed into a prime (13802632009321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 13361695524 + ... + 13361696556.

It is an arithmetic number, because the mean of its divisors is an integer number (29121265800).

Almost surely, 2^{13802632009320} is an apocalyptic number.

13802632009320 is a gapful number since it is divisible by the number (10) 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 13802632009320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29820176179200).

13802632009320 is an abundant number, since it is smaller than the sum of its proper divisors (45837720349080).

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

13802632009320 is a wasteful number, since it uses less digits than its factorization.

13802632009320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 13802632009320 in words is "thirteen trillion, eight hundred two billion, six hundred thirty-two million, nine thousand, three hundred twenty".