18078968160 has 864 divisors, whose sum is σ = 73617223680. Its totient is φ = 4023613440.

The previous prime is 18078968153. The next prime is 18078968183. The reversal of 18078968160 is 6186987081.

It is a junction number, because it is equal to n+sod(n) for n = 18078968097 and 18078968106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 142354017 + ... + 142354143.

It is an arithmetic number, because the mean of its divisors is an integer number (85205120).

Almost surely, 2^18078968160 is an apocalyptic number.

18078968160 is a gapful number since it is divisible by the number (10) 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 18078968160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36808611840).

18078968160 is an abundant number, since it is smaller than the sum of its proper divisors (55538255520).

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

18078968160 is a wasteful number, since it uses less digits than its factorization.

18078968160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 18078968160 in words is "eighteen billion, seventy-eight million, nine hundred sixty-eight thousand, one hundred sixty".