5813389407600 has 1440 divisors, whose sum is σ = 23291103273984. Its totient is φ = 1384998912000.

The previous prime is 5813389407599. The next prime is 5813389407607. The reversal of 5813389407600 is 67049833185.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5813389407607) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 5738784694 + ... + 5738785706.

Almost surely, 2^{5813389407600} is an apocalyptic number.

5813389407600 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 5813389407600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11645551636992).

5813389407600 is an abundant number, since it is smaller than the sum of its proper divisors (17477713866384).

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

5813389407600 is a wasteful number, since it uses less digits than its factorization.

5813389407600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 5813389407600 in words is "five trillion, eight hundred thirteen billion, three hundred eighty-nine million, four hundred seven thousand, six hundred".