5286810622464 has 1600 divisors, whose sum is σ = 20027099136000. Its totient is φ = 1382659891200.

The previous prime is 5286810622451. The next prime is 5286810622543. The reversal of 5286810622464 is 4642260186825.

5286810622464 is a `hidden beast` number, since 5 + 2 + 8 + 6 + 8 + 1 + 0 + 622 + 4 + 6 + 4 = 666.

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 5286810622464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8378463429 + ... + 8378464059.

It is an arithmetic number, because the mean of its divisors is an integer number (12516936960).

Almost surely, 2^{5286810622464} is an apocalyptic number.

5286810622464 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 5286810622464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10013549568000).

5286810622464 is an abundant number, since it is smaller than the sum of its proper divisors (14740288513536).

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

5286810622464 is an equidigital number, since it uses as much as digits as its factorization.

5286810622464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 5286810622464 in words is "five trillion, two hundred eighty-six billion, eight hundred ten million, six hundred twenty-two thousand, four hundred sixty-four".