18860167872 has 896 divisors, whose sum is σ = 72754053120. Its totient is φ = 4658135040.

The previous prime is 18860167817. The next prime is 18860167889. The reversal of 18860167872 is 27876106881.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 258358428 + ... + 258358500.

It is an arithmetic number, because the mean of its divisors is an integer number (81198720).

Almost surely, 2^18860167872 is an apocalyptic number.

18860167872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18860167872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36377026560).

18860167872 is an abundant number, since it is smaller than the sum of its proper divisors (53893885248).

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

18860167872 is a wasteful number, since it uses less digits than its factorization.

18860167872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 18860167872 in words is "eighteen billion, eight hundred sixty million, one hundred sixty-seven thousand, eight hundred seventy-two".