13193748582400 has 117 divisors (see below), whose sum is σ = 32719384794313. Its totient is φ = 5277034496000.

The previous prime is 13193748582397. The next prime is 13193748582403. The reversal of 13193748582400 is 428584739131.

The square root of 13193748582400 is 3632320.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (13193748582397) and next prime (13193748582403).

It can be written as a sum of positive squares in only one way, i.e., 4749749489664 + 8443999092736 = 2179392^2 + 2905856^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13193748582403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1162336725 + ... + 1162348075.

Almost surely, 2^{13193748582400} is an apocalyptic number.

13193748582400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13193748582400 is the 3632320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13193748582400

13193748582400 is an abundant number, since it is smaller than the sum of its proper divisors (19525636211913).

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

13193748582400 is an frugal number, since it uses more digits than its factorization.

13193748582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22736 (or 11358 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 13193748582400 in words is "thirteen trillion, one hundred ninety-three billion, seven hundred forty-eight million, five hundred eighty-two thousand, four hundred".