5633186607160 has 512 divisors, whose sum is σ = 16271539200000. Its totient is φ = 1711279374336.

The previous prime is 5633186607133. The next prime is 5633186607161. The reversal of 5633186607160 is 617066813365.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5633186607098 and 5633186607107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5633186607161) 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, 1364295976 + ... + 1364300104.

It is an arithmetic number, because the mean of its divisors is an integer number (31780350000).

Almost surely, 2^{5633186607160} 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 5633186607160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8135769600000).

5633186607160 is an abundant number, since it is smaller than the sum of its proper divisors (10638352592840).

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

5633186607160 is a wasteful number, since it uses less digits than its factorization.

5633186607160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4471 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 5633186607160 in words is "five trillion, six hundred thirty-three billion, one hundred eighty-six million, six hundred seven thousand, one hundred sixty".