5005155666500 has 96 divisors (see below), whose sum is σ = 11991633413760. Its totient is φ = 1809888336000.

The previous prime is 5005155666487. The next prime is 5005155666509. The reversal of 5005155666500 is 56665515005.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (5005155666509) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1557479 + ... + 3526478.

It is an arithmetic number, because the mean of its divisors is an integer number (124912848060).

Almost surely, 2^{5005155666500} is an apocalyptic number.

5005155666500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5005155666500 is an abundant number, since it is smaller than the sum of its proper divisors (6986477747260).

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

5005155666500 is a wasteful number, since it uses less digits than its factorization.

5005155666500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084166 (or 5084154 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 44.

The spelling of 5005155666500 in words is "five trillion, five billion, one hundred fifty-five million, six hundred sixty-six thousand, five hundred".