56016782238096 has 675 divisors, whose sum is σ = 172063740978129. Its totient is φ = 17593334390016.

The previous prime is 56016782238007. The next prime is 56016782238103. The reversal of 56016782238096 is 69083228761065.

It is a happy number.

The square root of 56016782238096 is 7484436.

It is a perfect power (a square), and thus also a powerful number.

56016782238096 is a `hidden beast` number, since 5 + 6 + 0 + 167 + 8 + 2 + 2 + 380 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29373841815696 + 26642940422400 = 5419764^2 + 5161680^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 523521329275 + ... + 523521329381.

Almost surely, 2^{56016782238096} is an apocalyptic number.

56016782238096 is the 7484436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56016782238096

56016782238096 is an abundant number, since it is smaller than the sum of its proper divisors (116046958740033).

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

56016782238096 is an equidigital number, since it uses as much as digits as its factorization.

56016782238096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 56016782238096 in words is "fifty-six trillion, sixteen billion, seven hundred eighty-two million, two hundred thirty-eight thousand, ninety-six".