5796406193760 has 2304 divisors, whose sum is σ = 26300003788800. Its totient is φ = 1160771420160.

The previous prime is 5796406193719. The next prime is 5796406193761. The reversal of 5796406193760 is 673916046975.

5796406193760 is a `hidden beast` number, since 5 + 7 + 9 + 6 + 4 + 0 + 619 + 3 + 7 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5796406193761) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25311817326 + ... + 25311817554.

It is an arithmetic number, because the mean of its divisors is an integer number (11414932200).

Almost surely, 2^{5796406193760} 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 5796406193760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13150001894400).

5796406193760 is an abundant number, since it is smaller than the sum of its proper divisors (20503597595040).

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

5796406193760 is a wasteful number, since it uses less digits than its factorization.

5796406193760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 5796406193760 in words is "five trillion, seven hundred ninety-six billion, four hundred six million, one hundred ninety-three thousand, seven hundred sixty".