5195631168 has 896 divisors, whose sum is σ = 20755660800. Its totient is φ = 1236197376.

The previous prime is 5195631167. The next prime is 5195631173. The reversal of 5195631168 is 8611365915.

5195631168 is a `hidden beast` number, since 5 + 1 + 9 + 5 + 631 + 1 + 6 + 8 = 666.

Its product of digits (194400) is a multiple of the sum of its prime factors (144).

It is not an unprimeable number, because it can be changed into a prime (5195631167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 110545321 + ... + 110545367.

It is an arithmetic number, because the mean of its divisors is an integer number (23164800).

Almost surely, 2^5195631168 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 5195631168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10377830400).

5195631168 is an abundant number, since it is smaller than the sum of its proper divisors (15560029632).

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

5195631168 is a wasteful number, since it uses less digits than its factorization.

5195631168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 5195631168 is about 72080.7267443940. The cubic root of 5195631168 is about 1731.9928884425.

The spelling of 5195631168 in words is "five billion, one hundred ninety-five million, six hundred thirty-one thousand, one hundred sixty-eight".