5813093197296 has 1280 divisors, whose sum is σ = 21615759360000. Its totient is φ = 1452462243840.

The previous prime is 5813093197231. The next prime is 5813093197361. The reversal of 5813093197296 is 6927913903185.

5813093197296 is a `hidden beast` number, since 5 + 8 + 1 + 309 + 31 + 9 + 7 + 296 = 666.

It is an interprime number because it is at equal distance from previous prime (5813093197231) and next prime (5813093197361).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30119653776 + ... + 30119653968.

It is an arithmetic number, because the mean of its divisors is an integer number (16887312000).

Almost surely, 2^{5813093197296} is an apocalyptic number.

5813093197296 is a gapful number since it is divisible by the number (56) 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 5813093197296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10807879680000).

5813093197296 is an abundant number, since it is smaller than the sum of its proper divisors (15802666162704).

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

5813093197296 is a wasteful number, since it uses less digits than its factorization.

5813093197296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 5813093197296 in words is "five trillion, eight hundred thirteen billion, ninety-three million, one hundred ninety-seven thousand, two hundred ninety-six".