5876416512 has 272 divisors, whose sum is σ = 18056340960. Its totient is φ = 1911029760.

The previous prime is 5876416477. The next prime is 5876416523. The reversal of 5876416512 is 2156146785.

5876416512 is a `hidden beast` number, since 58 + 76 + 4 + 16 + 512 = 666.

It is a super-2 number, since 2×5876416512² = 69064542045012492288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143327212 + ... + 143327252.

Almost surely, 2^5876416512 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 5876416512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9028170480).

5876416512 is an abundant number, since it is smaller than the sum of its proper divisors (12179924448).

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

5876416512 is an frugal number, since it uses more digits than its factorization.

5876416512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 46 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 5876416512 is about 76657.7883323019. The cubic root of 5876416512 is about 1804.5580481448.

The spelling of 5876416512 in words is "five billion, eight hundred seventy-six million, four hundred sixteen thousand, five hundred twelve".