5872124160 has 1008 divisors, whose sum is σ = 25736739840. Its totient is φ = 1254113280.

The previous prime is 5872124119. The next prime is 5872124171. The reversal of 5872124160 is 614212785.

5872124160 is a `hidden beast` number, since 587 + 2 + 12 + 4 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 189423345 + ... + 189423375.

It is an arithmetic number, because the mean of its divisors is an integer number (25532480).

Almost surely, 2^5872124160 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 5872124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12868369920).

5872124160 is an abundant number, since it is smaller than the sum of its proper divisors (19864615680).

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

5872124160 is an equidigital number, since it uses as much as digits as its factorization.

5872124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5872124160 is about 76629.7863757952. The cubic root of 5872124160 is about 1804.1185691394.

The spelling of 5872124160 in words is "five billion, eight hundred seventy-two million, one hundred twenty-four thousand, one hundred sixty".