5870016000 has 640 divisors, whose sum is σ = 22469990400. Its totient is φ = 1509580800.

The previous prime is 5870015981. The next prime is 5870016017. The reversal of 5870016000 is 6100785.

5870016000 is a `hidden beast` number, since 58 + 7 + 0 + 0 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74303961 + ... + 74304039.

It is an arithmetic number, because the mean of its divisors is an integer number (35109360).

Almost surely, 2^5870016000 is an apocalyptic number.

5870016000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5870016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11234995200).

5870016000 is an abundant number, since it is smaller than the sum of its proper divisors (16599974400).

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

5870016000 is an equidigital number, since it uses as much as digits as its factorization.

5870016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5870016000 is about 76616.0296543745. The cubic root of 5870016000 is about 1803.9026435367.

Adding to 5870016000 its reverse (6100785), we get a palindrome (5876116785).

The spelling of 5870016000 in words is "five billion, eight hundred seventy million, sixteen thousand".