13074287241600 has 1344 divisors, whose sum is σ = 52478288570400. Its totient is φ = 3217024512000.

The previous prime is 13074287241599. The next prime is 13074287241629. The reversal of 13074287241600 is 614278247031.

13074287241600 is a `hidden beast` number, since 1 + 3 + 0 + 74 + 287 + 241 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 5125160325 + ... + 5125162875.

Almost surely, 2^{13074287241600} is an apocalyptic number.

13074287241600 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 13074287241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26239144285200).

13074287241600 is an abundant number, since it is smaller than the sum of its proper divisors (39404001328800).

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

13074287241600 is an frugal number, since it uses more digits than its factorization.

13074287241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 13074287241600 in words is "thirteen trillion, seventy-four billion, two hundred eighty-seven million, two hundred forty-one thousand, six hundred".