5670242170560 has 1344 divisors, whose sum is σ = 22887146999808. Its totient is φ = 1323786240000.

The previous prime is 5670242170487. The next prime is 5670242170597. The reversal of 5670242170560 is 650712420765.

5670242170560 is a `hidden beast` number, since 5 + 6 + 70 + 2 + 4 + 2 + 17 + 0 + 560 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7451040580 + ... + 7451041340.

It is an arithmetic number, because the mean of its divisors is an integer number (17029127232).

Almost surely, 2^{5670242170560} 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 5670242170560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11443573499904).

5670242170560 is an abundant number, since it is smaller than the sum of its proper divisors (17216904829248).

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

5670242170560 is a wasteful number, since it uses less digits than its factorization.

5670242170560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 5670242170560 in words is "five trillion, six hundred seventy billion, two hundred forty-two million, one hundred seventy thousand, five hundred sixty".