13352493600 has 1080 divisors, whose sum is σ = 55716933888. Its totient is φ = 3102105600.

The previous prime is 13352493587. The next prime is 13352493613. The reversal of 13352493600 is 639425331.

It is a happy number.

13352493600 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 2 + 49 + 3 + 600 = 666.

13352493600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13352493587) and next prime (13352493613).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 430725585 + ... + 430725615.

Almost surely, 2^13352493600 is an apocalyptic number.

13352493600 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 13352493600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27858466944).

13352493600 is an abundant number, since it is smaller than the sum of its proper divisors (42364440288).

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

13352493600 is a wasteful number, since it uses less digits than its factorization.

13352493600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 13352493600 in words is "thirteen billion, three hundred fifty-two million, four hundred ninety-three thousand, six hundred".