1087407581688 has 72 divisors (see below), whose sum is σ = 3128491739880. Its totient is φ = 341147470080.

The previous prime is 1087407581681. The next prime is 1087407581717. The reversal of 1087407581688 is 8861857047801.

1087407581688 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 40 + 7 + 581 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087407581681) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26108748 + ... + 26150363.

It is an arithmetic number, because the mean of its divisors is an integer number (43451274165).

Almost surely, 2^{1087407581688} is an apocalyptic number.

1087407581688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1087407581688 is an abundant number, since it is smaller than the sum of its proper divisors (2041084158192).

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

1087407581688 is a wasteful number, since it uses less digits than its factorization.

1087407581688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52259157 (or 52259133 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 63.

The spelling of 1087407581688 in words is "one trillion, eighty-seven billion, four hundred seven million, five hundred eighty-one thousand, six hundred eighty-eight".