5321313164160 has 1728 divisors, whose sum is σ = 23074271569440. Its totient is φ = 1124568023040.

The previous prime is 5321313164117. The next prime is 5321313164161. The reversal of 5321313164160 is 614613131235.

5321313164160 is a `hidden beast` number, since 5 + 3 + 2 + 1 + 3 + 1 + 3 + 1 + 641 + 6 + 0 = 666.

It is a super-2 number, since 2×5321313164160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5321313164161) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6238350294 + ... + 6238351146.

Almost surely, 2^{5321313164160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5321313164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11537135784720).

5321313164160 is an abundant number, since it is smaller than the sum of its proper divisors (17752958405280).

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

5321313164160 is a wasteful number, since it uses less digits than its factorization.

5321313164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 5321313164160 its reverse (614613131235), we get a palindrome (5935926295395).

The spelling of 5321313164160 in words is "five trillion, three hundred twenty-one billion, three hundred thirteen million, one hundred sixty-four thousand, one hundred sixty".