5413109083200 has 840 divisors, whose sum is σ = 24488948565312. Its totient is φ = 1142104043520.

The previous prime is 5413109083153. The next prime is 5413109083211. The reversal of 5413109083200 is 23809013145.

5413109083200 is a `hidden beast` number, since 54 + 1 + 310 + 90 + 8 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11564107 + ... + 12023093.

Almost surely, 2^{5413109083200} is an apocalyptic number.

5413109083200 is a gapful number since it is divisible by the number (50) 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 5413109083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12244474282656).

5413109083200 is an abundant number, since it is smaller than the sum of its proper divisors (19075839482112).

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

5413109083200 is a wasteful number, since it uses less digits than its factorization.

5413109083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459041 (or 459017 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 5413109083200 in words is "five trillion, four hundred thirteen billion, one hundred nine million, eighty-three thousand, two hundred".