5196530664000 has 672 divisors, whose sum is σ = 20035769566176. Its totient is φ = 1278060134400.

The previous prime is 5196530663999. The next prime is 5196530664007. The reversal of 5196530664000 is 4660356915.

5196530664000 is a `hidden beast` number, since 5 + 19 + 6 + 530 + 66 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3174583173696 + 2021947490304 = 1781736^2 + 1421952^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5196530664007) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2149990792 + ... + 2149993208.

It is an arithmetic number, because the mean of its divisors is an integer number (29815133283).

Almost surely, 2^{5196530664000} is an apocalyptic number.

5196530664000 is a gapful number since it is divisible by the number (50) 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 5196530664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10017884783088).

5196530664000 is an abundant number, since it is smaller than the sum of its proper divisors (14839238902176).

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

5196530664000 is a wasteful number, since it uses less digits than its factorization.

5196530664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760 (or 4737 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 5196530664000 in words is "five trillion, one hundred ninety-six billion, five hundred thirty million, six hundred sixty-four thousand".