5867709120 has 896 divisors, whose sum is σ = 27036979200. Its totient is φ = 1162543104.

The previous prime is 5867709097. The next prime is 5867709149. The reversal of 5867709120 is 219077685.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 127 ways as a sum of consecutive naturals, for example, 13365861 + ... + 13366299.

It is an arithmetic number, because the mean of its divisors is an integer number (30175200).

Almost surely, 2^5867709120 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 5867709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13518489600).

5867709120 is an abundant number, since it is smaller than the sum of its proper divisors (21169270080).

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

5867709120 is a wasteful number, since it uses less digits than its factorization.

5867709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 5867709120 is about 76600.9733619619. The cubic root of 5867709120 is about 1803.6663050450. Note that the first 3 decimals are identical.

The spelling of 5867709120 in words is "five billion, eight hundred sixty-seven million, seven hundred nine thousand, one hundred twenty".