5006005005540 has 1536 divisors, whose sum is σ = 19740672000000. Its totient is φ = 935713658880.

The previous prime is 5006005005527. The next prime is 5006005005601. The reversal of 5006005005540 is 455005006005.

It is a super-2 number, since 2×5006005005540² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5006005005498 and 5006005005507.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 8357270161 + ... + 8357270759.

It is an arithmetic number, because the mean of its divisors is an integer number (12852000000).

Almost surely, 2^{5006005005540} 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 5006005005540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9870336000000).

5006005005540 is an abundant number, since it is smaller than the sum of its proper divisors (14734666994460).

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

5006005005540 is a wasteful number, since it uses less digits than its factorization.

5006005005540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 5006005005540 in words is "five trillion, six billion, five million, five thousand, five hundred forty".