18128177786880 has 1248 divisors, whose sum is σ = 73241508472704. Its totient is φ = 4061914988544.

The previous prime is 18128177786867. The next prime is 18128177786923. The reversal of 18128177786880 is 8868777182181.

18128177786880 is a `hidden beast` number, since 1 + 81 + 281 + 77 + 78 + 68 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18128177786799 and 18128177786808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18554940952 + ... + 18554941928.

It is an arithmetic number, because the mean of its divisors is an integer number (58687106148).

Almost surely, 2^{18128177786880} is an apocalyptic number.

18128177786880 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 18128177786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36620754236352).

18128177786880 is an abundant number, since it is smaller than the sum of its proper divisors (55113330685824).

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

18128177786880 is a wasteful number, since it uses less digits than its factorization.

18128177786880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 134873088, while the sum is 72.

The spelling of 18128177786880 in words is "eighteen trillion, one hundred twenty-eight billion, one hundred seventy-seven million, seven hundred eighty-six thousand, eight hundred eighty".