5578382532096 has 960 divisors, whose sum is σ = 18871492147200. Its totient is φ = 1624043520000.

The previous prime is 5578382532091. The next prime is 5578382532097. The reversal of 5578382532096 is 6902352838755.

5578382532096 is a `hidden beast` number, since 5 + 5 + 7 + 8 + 3 + 8 + 2 + 532 + 0 + 96 = 666.

It is a super-2 number, since 2×5578382532096² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5578382532091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9281834196 + ... + 9281834796.

It is an arithmetic number, because the mean of its divisors is an integer number (19657804320).

Almost surely, 2^{5578382532096} 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 5578382532096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9435746073600).

5578382532096 is an abundant number, since it is smaller than the sum of its proper divisors (13293109615104).

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

5578382532096 is a wasteful number, since it uses less digits than its factorization.

5578382532096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 5578382532096 in words is "five trillion, five hundred seventy-eight billion, three hundred eighty-two million, five hundred thirty-two thousand, ninety-six".