5795582607360 has 1280 divisors, whose sum is σ = 25578153216000. Its totient is φ = 1222549438464.

The previous prime is 5795582607341. The next prime is 5795582607383. The reversal of 5795582607360 is 637062855975.

5795582607360 is a `hidden beast` number, since 5 + 7 + 9 + 5 + 5 + 8 + 260 + 7 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1207662241 + ... + 1207667039.

It is an arithmetic number, because the mean of its divisors is an integer number (19982932200).

Almost surely, 2^{5795582607360} 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 5795582607360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12789076608000).

5795582607360 is an abundant number, since it is smaller than the sum of its proper divisors (19782570608640).

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

5795582607360 is an equidigital number, since it uses as much as digits as its factorization.

5795582607360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4866 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 5795582607360 in words is "five trillion, seven hundred ninety-five billion, five hundred eighty-two million, six hundred seven thousand, three hundred sixty".