5168556540 has 288 divisors, whose sum is σ = 18732080640. Its totient is φ = 1171812096.

The previous prime is 5168556539. The next prime is 5168556553. The reversal of 5168556540 is 456558615.

5168556540 is a `hidden beast` number, since 5 + 1 + 6 + 85 + 565 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 4728234 + ... + 4729326.

Almost surely, 2^5168556540 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 5168556540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9366040320).

5168556540 is an abundant number, since it is smaller than the sum of its proper divisors (13563524100).

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

5168556540 is a wasteful number, since it uses less digits than its factorization.

5168556540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The square root of 5168556540 is about 71892.6737574838. The cubic root of 5168556540 is about 1728.9791542684.

The spelling of 5168556540 in words is "five billion, one hundred sixty-eight million, five hundred fifty-six thousand, five hundred forty".