5605416115776 has 441 divisors, whose sum is σ = 17001388188291. Its totient is φ = 1832844754944.

The previous prime is 5605416115771. The next prime is 5605416115777. The reversal of 5605416115776 is 6775116145065.

The square root of 5605416115776 is 2367576.

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

5605416115776 is a `hidden beast` number, since 5 + 6 + 0 + 5 + 4 + 1 + 61 + 1 + 577 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2344646938176 + 3260769177600 = 1531224^2 + 1805760^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5605416115771) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 49605452296 + ... + 49605452408.

Almost surely, 2^{5605416115776} is an apocalyptic number.

5605416115776 is the 2367576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5605416115776

5605416115776 is an abundant number, since it is smaller than the sum of its proper divisors (11395972072515).

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

5605416115776 is an frugal number, since it uses more digits than its factorization.

5605416115776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 5605416115776 in words is "five trillion, six hundred five billion, four hundred sixteen million, one hundred fifteen thousand, seven hundred seventy-six".