1866128085360 has 2160 divisors, whose sum is σ = 8362390772736. Its totient is φ = 371314944000.

The previous prime is 1866128085343. The next prime is 1866128085383. The reversal of 1866128085360 is 635808216681.

1866128085360 is a `hidden beast` number, since 1 + 86 + 6 + 1 + 28 + 0 + 8 + 536 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1866128085297 and 1866128085306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 14245252495 + ... + 14245252625.

Almost surely, 2^{1866128085360} is an apocalyptic number.

1866128085360 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 1866128085360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4181195386368).

1866128085360 is an abundant number, since it is smaller than the sum of its proper divisors (6496262687376).

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

1866128085360 is a wasteful number, since it uses less digits than its factorization.

1866128085360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1866128085360 in words is "one trillion, eight hundred sixty-six billion, one hundred twenty-eight million, eighty-five thousand, three hundred sixty".