5185188311040 has 416 divisors, whose sum is σ = 19518361421760. Its totient is φ = 1301378236416.

The previous prime is 5185188310997. The next prime is 5185188311041. The reversal of 5185188311040 is 401138815815.

5185188311040 is a `hidden beast` number, since 5 + 1 + 8 + 518 + 83 + 1 + 10 + 40 = 666.

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 (5185188311041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9124522 + ... + 9676118.

Almost surely, 2^{5185188311040} 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 5185188311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9759180710880).

5185188311040 is an abundant number, since it is smaller than the sum of its proper divisors (14333173110720).

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

5185188311040 is a wasteful number, since it uses less digits than its factorization.

5185188311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551652 (or 551624 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 45.

The spelling of 5185188311040 in words is "five trillion, one hundred eighty-five billion, one hundred eighty-eight million, three hundred eleven thousand, forty".