5807124814464 has 160 divisors (see below), whose sum is σ = 17296009067700. Its totient is φ = 1934129000448.

The previous prime is 5807124814411. The next prime is 5807124814471. The reversal of 5807124814464 is 4644184217085.

5807124814464 is a `hidden beast` number, since 5 + 80 + 7 + 1 + 24 + 81 + 4 + 464 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5683417856064 + 123706958400 = 2383992^2 + 351720^2 .

It is a super-2 number, since 2×5807124814464² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5807124814464.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12514404 + ... + 12970140.

Almost surely, 2^{5807124814464} is an apocalyptic number.

5807124814464 is a gapful number since it is divisible by the number (54) 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 5807124814464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648004533850).

5807124814464 is an abundant number, since it is smaller than the sum of its proper divisors (11488884253236).

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

5807124814464 is a wasteful number, since it uses less digits than its factorization.

5807124814464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456992 (or 456971 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 5807124814464 in words is "five trillion, eight hundred seven billion, one hundred twenty-four million, eight hundred fourteen thousand, four hundred sixty-four".