5850169920 has 560 divisors, whose sum is σ = 25049439360. Its totient is φ = 1266057216.

The previous prime is 5850169907. The next prime is 5850169943. The reversal of 5850169920 is 299610585.

5850169920 is a `hidden beast` number, since 58 + 501 + 6 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 79 ways as a sum of consecutive naturals, for example, 3446512 + ... + 3448208.

Almost surely, 2^5850169920 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 5850169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12524719680).

5850169920 is an abundant number, since it is smaller than the sum of its proper divisors (19199269440).

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

5850169920 is a wasteful number, since it uses less digits than its factorization.

5850169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 5850169920 is about 76486.4034976152. The cubic root of 5850169920 is about 1801.8673953493.

The spelling of 5850169920 in words is "five billion, eight hundred fifty million, one hundred sixty-nine thousand, nine hundred twenty".