5878820160 has 448 divisors, whose sum is σ = 21910487040. Its totient is φ = 1481656320.

The previous prime is 5878820131. The next prime is 5878820179. The reversal of 5878820160 is 610288785.

5878820160 is a `hidden beast` number, since 587 + 8 + 8 + 2 + 0 + 1 + 60 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12588247 + ... + 12588713.

Almost surely, 2^5878820160 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 5878820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10955243520).

5878820160 is an abundant number, since it is smaller than the sum of its proper divisors (16031666880).

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

5878820160 is a wasteful number, since it uses less digits than its factorization.

5878820160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 5878820160 is about 76673.4645102202. The cubic root of 5878820160 is about 1804.8040558419.

The spelling of 5878820160 in words is "five billion, eight hundred seventy-eight million, eight hundred twenty thousand, one hundred sixty".