5487593664168 has 1152 divisors, whose sum is σ = 21006005529600. Its totient is φ = 1322305689600.

The previous prime is 5487593664143. The next prime is 5487593664191. The reversal of 5487593664168 is 8614663957845.

5487593664168 is a `hidden beast` number, since 5 + 487 + 59 + 36 + 6 + 4 + 1 + 68 = 666.

It is a super-2 number, since 2×5487593664168² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5487593664096 and 5487593664105.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1264711743 + ... + 1264716081.

It is an arithmetic number, because the mean of its divisors is an integer number (18234379800).

Almost surely, 2^{5487593664168} 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 5487593664168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10503002764800).

5487593664168 is an abundant number, since it is smaller than the sum of its proper divisors (15518411865432).

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

5487593664168 is a wasteful number, since it uses less digits than its factorization.

5487593664168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4473 (or 4450 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 5487593664168 in words is "five trillion, four hundred eighty-seven billion, five hundred ninety-three million, six hundred sixty-four thousand, one hundred sixty-eight".