5658091782336 has 504 divisors, whose sum is σ = 19594726154640. Its totient is φ = 1554577920000.

The previous prime is 5658091782271. The next prime is 5658091782337. The reversal of 5658091782336 is 6332871908565.

5658091782336 is a `hidden beast` number, since 5 + 6 + 580 + 9 + 17 + 8 + 2 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is not an unprimeable number, because it can be changed into a prime (5658091782337) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 205428726 + ... + 205456266.

It is an arithmetic number, because the mean of its divisors is an integer number (38878424910).

Almost surely, 2^{5658091782336} is an apocalyptic number.

5658091782336 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 5658091782336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9797363077320).

5658091782336 is an abundant number, since it is smaller than the sum of its proper divisors (13936634372304).

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

5658091782336 is a wasteful number, since it uses less digits than its factorization.

5658091782336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27853 (or 27833 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 5658091782336 in words is "five trillion, six hundred fifty-eight billion, ninety-one million, seven hundred eighty-two thousand, three hundred thirty-six".