5163562535040 has 768 divisors, whose sum is σ = 22042323313920. Its totient is φ = 1084630597632.

The previous prime is 5163562535039. The next prime is 5163562535069. The reversal of 5163562535040 is 405352653615.

5163562535040 is a `hidden beast` number, since 5 + 1 + 6 + 35 + 62 + 53 + 504 + 0 = 666.

It is a super-2 number, since 2×5163562535040² (a number of 26 digits) contains 22 as substring.

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

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, 118962622 + ... + 119006018.

It is an arithmetic number, because the mean of its divisors is an integer number (28700941815).

Almost surely, 2^{5163562535040} 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 5163562535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11021161656960).

5163562535040 is an abundant number, since it is smaller than the sum of its proper divisors (16878760778880).

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

5163562535040 is a wasteful number, since it uses less digits than its factorization.

5163562535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43669 (or 43654 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 5163562535040 in words is "five trillion, one hundred sixty-three billion, five hundred sixty-two million, five hundred thirty-five thousand, forty".