5970170880 has 352 divisors, whose sum is σ = 22343414400. Its totient is φ = 1507590144.

The previous prime is 5970170873. The next prime is 5970170897. The reversal of 5970170880 is 880710795.

It is a super-3 number, since 3×5970170880³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2625424 + ... + 2627696.

Almost surely, 2^5970170880 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 5970170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11171707200).

5970170880 is an abundant number, since it is smaller than the sum of its proper divisors (16373243520).

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

5970170880 is a wasteful number, since it uses less digits than its factorization.

5970170880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The square root of 5970170880 is about 77266.8808740200. The cubic root of 5970170880 is about 1814.1043049944.

The spelling of 5970170880 in words is "five billion, nine hundred seventy million, one hundred seventy thousand, eight hundred eighty".