5013671367600 has 720 divisors, whose sum is σ = 20946343475200. Its totient is φ = 1084867706880.

The previous prime is 5013671367599. The next prime is 5013671367631. The reversal of 5013671367600 is 67631763105.

5013671367600 is a `hidden beast` number, since 5 + 0 + 1 + 3 + 6 + 7 + 1 + 36 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 842206224 + ... + 842212176.

Almost surely, 2^{5013671367600} is an apocalyptic number.

5013671367600 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 5013671367600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10473171737600).

5013671367600 is an abundant number, since it is smaller than the sum of its proper divisors (15932672107600).

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

5013671367600 is a wasteful number, since it uses less digits than its factorization.

5013671367600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7762 (or 7748 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 5013671367600 in words is "five trillion, thirteen billion, six hundred seventy-one million, three hundred sixty-seven thousand, six hundred".