13890979600 has 135 divisors (see below), whose sum is σ = 34262483989. Its totient is φ = 5412131200.

The previous prime is 13890979577. The next prime is 13890979603. The reversal of 13890979600 is 697909831.

The square root of 13890979600 is 117860.

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

It can be written as a sum of positive squares in only one way, i.e., 5000752656 + 8890226944 = 70716^2 + 94288^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13890979603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 167361159 + ... + 167361241.

Almost surely, 2^13890979600 is an apocalyptic number.

13890979600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13890979600 is the 117860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13890979600

13890979600 is an abundant number, since it is smaller than the sum of its proper divisors (20371504389).

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

13890979600 is an frugal number, since it uses more digits than its factorization.

13890979600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 52.

The spelling of 13890979600 in words is "thirteen billion, eight hundred ninety million, nine hundred seventy-nine thousand, six hundred".