5188612291632 has 600 divisors, whose sum is σ = 19287088172352. Its totient is φ = 1331439379200.

The previous prime is 5188612291609. The next prime is 5188612291649. The reversal of 5188612291632 is 2361922168815.

5188612291632 is a `hidden beast` number, since 5 + 1 + 8 + 8 + 612 + 2 + 9 + 16 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 57934407 + ... + 58023897.

Almost surely, 2^{5188612291632} 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 5188612291632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9643544086176).

5188612291632 is an abundant number, since it is smaller than the sum of its proper divisors (14098475880720).

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

5188612291632 is a wasteful number, since it uses less digits than its factorization.

5188612291632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89619 (or 89597 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 5188612291632 in words is "five trillion, one hundred eighty-eight billion, six hundred twelve million, two hundred ninety-one thousand, six hundred thirty-two".