13693422400 has 252 divisors, whose sum is σ = 39383779500. Its totient is φ = 4672389120.

The previous prime is 13693422397. The next prime is 13693422409. The reversal of 13693422400 is 422439631.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 681001216 + 13012421184 = 26096^2 + 114072^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13693422409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30497376 + ... + 30497824.

Almost surely, 2^13693422400 is an apocalyptic number.

13693422400 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 13693422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19691889750).

13693422400 is an abundant number, since it is smaller than the sum of its proper divisors (25690357100).

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

13693422400 is a wasteful number, since it uses less digits than its factorization.

13693422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 13693422400 in words is "thirteen billion, six hundred ninety-three million, four hundred twenty-two thousand, four hundred".