5086552464 has 400 divisors, whose sum is σ = 17500665600. Its totient is φ = 1396362240.

The previous prime is 5086552463. The next prime is 5086552477. The reversal of 5086552464 is 4642556805.

5086552464 is a `hidden beast` number, since 5 + 0 + 8 + 65 + 524 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5086552463) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34137862 + ... + 34138010.

It is an arithmetic number, because the mean of its divisors is an integer number (43751664).

Almost surely, 2^5086552464 is an apocalyptic number.

5086552464 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 5086552464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8750332800).

5086552464 is an abundant number, since it is smaller than the sum of its proper divisors (12414113136).

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

5086552464 is a wasteful number, since it uses less digits than its factorization.

5086552464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The square root of 5086552464 is about 71320.0705552091. The cubic root of 5086552464 is about 1719.7863967660.

The spelling of 5086552464 in words is "five billion, eighty-six million, five hundred fifty-two thousand, four hundred sixty-four".