10005123360180 has 48 divisors (see below), whose sum is σ = 30169295057664. Its totient is φ = 2462799596160.

The previous prime is 10005123360179. The next prime is 10005123360181. The reversal of 10005123360180 is 8106332150001.

It is an interprime number because it is at equal distance from previous prime (10005123360179) and next prime (10005123360181).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005123360181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6413539836 + ... + 6413541395.

It is an arithmetic number, because the mean of its divisors is an integer number (628526980368).

Almost surely, 2^{10005123360180} is an apocalyptic number.

10005123360180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005123360180 is an abundant number, since it is smaller than the sum of its proper divisors (20164171697484).

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

10005123360180 is a wasteful number, since it uses less digits than its factorization.

10005123360180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12827081256 (or 12827081254 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 10005123360180 in words is "ten trillion, five billion, one hundred twenty-three million, three hundred sixty thousand, one hundred eighty".