5876136000 has 672 divisors, whose sum is σ = 24478122240. Its totient is φ = 1317888000.

The previous prime is 5876135983. The next prime is 5876136001. The reversal of 5876136000 is 6316785.

5876136000 is a `hidden beast` number, since 587 + 6 + 13 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (5876136001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44855935 + ... + 44856065.

Almost surely, 2^5876136000 is an apocalyptic number.

5876136000 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 5876136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12239061120).

5876136000 is an abundant number, since it is smaller than the sum of its proper divisors (18601986240).

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

5876136000 is a wasteful number, since it uses less digits than its factorization.

5876136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5876136000 is about 76655.9586724998. The cubic root of 5876136000 is about 1804.5293340330.

The spelling of 5876136000 in words is "five billion, eight hundred seventy-six million, one hundred thirty-six thousand".