5185130402736 has 320 divisors, whose sum is σ = 16183964160000. Its totient is φ = 1583412572160.

The previous prime is 5185130402723. The next prime is 5185130402741. The reversal of 5185130402736 is 6372040315815.

It is a happy number.

5185130402736 is a `hidden beast` number, since 5 + 1 + 85 + 130 + 402 + 7 + 36 = 666.

It is a super-3 number, since 3×5185130402736³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5185130402691 and 5185130402700.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 379884040 + ... + 379897688.

It is an arithmetic number, because the mean of its divisors is an integer number (50574888000).

Almost surely, 2^{5185130402736} 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 5185130402736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8091982080000).

5185130402736 is an abundant number, since it is smaller than the sum of its proper divisors (10998833757264).

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

5185130402736 is a wasteful number, since it uses less digits than its factorization.

5185130402736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15209 (or 15197 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 5185130402736 in words is "five trillion, one hundred eighty-five billion, one hundred thirty million, four hundred two thousand, seven hundred thirty-six".