18278080128 has 1152 divisors, whose sum is σ = 75033354240. Its totient is φ = 4136140800.

The previous prime is 18278080127. The next prime is 18278080129. The reversal of 18278080128 is 82108087281.

It is an interprime number because it is at equal distance from previous prime (18278080127) and next prime (18278080129).

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (18278080127) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 589615473 + ... + 589615503.

It is an arithmetic number, because the mean of its divisors is an integer number (65133120).

Almost surely, 2^18278080128 is an apocalyptic number.

18278080128 is a gapful number since it is divisible by the number (18) 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 18278080128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37516677120).

18278080128 is an abundant number, since it is smaller than the sum of its proper divisors (56755274112).

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

18278080128 is a wasteful number, since it uses less digits than its factorization.

18278080128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 18278080128 in words is "eighteen billion, two hundred seventy-eight million, eighty thousand, one hundred twenty-eight".