5213164032000 has 312 divisors, whose sum is σ = 18792916332840. Its totient is φ = 1390175846400.

The previous prime is 5213164031839. The next prime is 5213164032017. The reversal of 5213164032000 is 2304613125.

5213164032000 is a `hidden beast` number, since 5 + 2 + 13 + 1 + 640 + 3 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5128851456 + 5208035180544 = 71616^2 + 2282112^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4042336 + ... + 5173664.

It is an arithmetic number, because the mean of its divisors is an integer number (60233706195).

Almost surely, 2^{5213164032000} is an apocalyptic number.

5213164032000 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 5213164032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9396458166420).

5213164032000 is an abundant number, since it is smaller than the sum of its proper divisors (13579752300840).

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

5213164032000 is a wasteful number, since it uses less digits than its factorization.

5213164032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131374 (or 1131339 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 5213164032000 its reverse (2304613125), we get a palindrome (5215468645125).

The spelling of 5213164032000 in words is "five trillion, two hundred thirteen billion, one hundred sixty-four million, thirty-two thousand".