5352862040064 has 1440 divisors, whose sum is σ = 21068184883200. Its totient is φ = 1315743989760.

The previous prime is 5352862040051. The next prime is 5352862040077. The reversal of 5352862040064 is 4600402682535.

5352862040064 is a `hidden beast` number, since 5 + 3 + 528 + 6 + 20 + 40 + 0 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (5352862040051) and next prime (5352862040077).

It is a super-2 number, since 2×5352862040064² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5824658997 + ... + 5824659915.

Almost surely, 2^{5352862040064} is an apocalyptic number.

5352862040064 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 5352862040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10534092441600).

5352862040064 is an abundant number, since it is smaller than the sum of its proper divisors (15715322843136).

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

5352862040064 is an equidigital number, since it uses as much as digits as its factorization.

5352862040064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 5352862040064 in words is "five trillion, three hundred fifty-two billion, eight hundred sixty-two million, forty thousand, sixty-four".