1087177127760 has 60 divisors (see below), whose sum is σ = 3651103189812. Its totient is φ = 289913900544.

The previous prime is 1087177127759. The next prime is 1087177127807. The reversal of 1087177127760 is 677217717801.

It can be written as a sum of positive squares in 2 ways, for example, as 699043143744 + 388133984016 = 836088^2 + 623004^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 1087177127697 and 1087177127706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 754983397 + ... + 754984836.

Almost surely, 2^{1087177127760} is an apocalyptic number.

1087177127760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1087177127760 is an abundant number, since it is smaller than the sum of its proper divisors (2563926062052).

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

1087177127760 is a wasteful number, since it uses less digits than its factorization.

1087177127760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509968252 (or 1509968243 counting only the distinct ones).

The product of its (nonzero) digits is 1613472, while the sum is 54.

The spelling of 1087177127760 in words is "one trillion, eighty-seven billion, one hundred seventy-seven million, one hundred twenty-seven thousand, seven hundred sixty".