5605314693120 has 144 divisors (see below), whose sum is σ = 19427013840780. Its totient is φ = 1494750560256.

The previous prime is 5605314693113. The next prime is 5605314693137. The reversal of 5605314693120 is 213964135065.

5605314693120 is a `hidden beast` number, since 5 + 6 + 0 + 531 + 4 + 6 + 93 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5051921531904 + 553393161216 = 2247648^2 + 743904^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30318619 + ... + 30502938.

Almost surely, 2^{5605314693120} is an apocalyptic number.

It is an amenable number.

5605314693120 is an abundant number, since it is smaller than the sum of its proper divisors (13821699147660).

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

5605314693120 is a wasteful number, since it uses less digits than its factorization.

5605314693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60821590 (or 60821567 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 5605314693120 in words is "five trillion, six hundred five billion, three hundred fourteen million, six hundred ninety-three thousand, one hundred twenty".