5130891279360 has 4224 divisors, whose sum is σ = 25581712066560. Its totient is φ = 924938403840.

The previous prime is 5130891279317. The next prime is 5130891279361. The reversal of 5130891279360 is 639721980315.

5130891279360 is a `hidden beast` number, since 5 + 1 + 3 + 0 + 8 + 9 + 1 + 279 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a super-2 number, since 2×5130891279360² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5130891279297 and 5130891279306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5130891279361) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 138672737262 + ... + 138672737298.

Almost surely, 2^{5130891279360} 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 5130891279360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12790856033280).

5130891279360 is an abundant number, since it is smaller than the sum of its proper divisors (20450820787200).

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

5130891279360 is a wasteful number, since it uses less digits than its factorization.

5130891279360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 5130891279360 in words is "five trillion, one hundred thirty billion, eight hundred ninety-one million, two hundred seventy-nine thousand, three hundred sixty".