5813605923840 has 1760 divisors, whose sum is σ = 24663252708864. Its totient is φ = 1290953687040.

The previous prime is 5813605923803. The next prime is 5813605923887. The reversal of 5813605923840 is 483295063185.

5813605923840 is a `hidden beast` number, since 5 + 8 + 1 + 3 + 6 + 0 + 592 + 3 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

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

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 159 ways as a sum of consecutive naturals, for example, 9903928027 + ... + 9903928613.

Almost surely, 2^{5813605923840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5813605923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12331626354432).

5813605923840 is an abundant number, since it is smaller than the sum of its proper divisors (18849646785024).

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

5813605923840 is a wasteful number, since it uses less digits than its factorization.

5813605923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 5813605923840 in words is "five trillion, eight hundred thirteen billion, six hundred five million, nine hundred twenty-three thousand, eight hundred forty".