75378137886180 has 72 divisors (see below), whose sum is σ = 228648250571832. Its totient is φ = 20100728434176.

The previous prime is 75378137886179. The next prime is 75378137886211. The reversal of 75378137886180 is 8168873187357.

75378137886180 is a `hidden beast` number, since 7 + 5 + 3 + 78 + 1 + 378 + 8 + 6 + 180 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33474162490596 + 41903975395584 = 5785686^2 + 6473328^2 .

It is a junction number, because it is equal to n+sod(n) for n = 75378137886099 and 75378137886108.

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 23 ways as a sum of consecutive naturals, for example, 35689354 + ... + 37742366.

It is an arithmetic number, because the mean of its divisors is an integer number (3175670146831).

Almost surely, 2^{75378137886180} is an apocalyptic number.

It is an amenable number.

75378137886180 is an abundant number, since it is smaller than the sum of its proper divisors (153270112685652).

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

75378137886180 is a wasteful number, since it uses less digits than its factorization.

75378137886180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257005 (or 2257000 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 72.

The spelling of 75378137886180 in words is "seventy-five trillion, three hundred seventy-eight billion, one hundred thirty-seven million, eight hundred eighty-six thousand, one hundred eighty".