1087365178080 has 144 divisors (see below), whose sum is σ = 3717067418064. Its totient is φ = 289461288960.

The previous prime is 1087365178073. The next prime is 1087365178091. The reversal of 1087365178080 is 808715637801.

It is a happy number.

1087365178080 is a `hidden beast` number, since 10 + 8 + 7 + 36 + 517 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1087365178080² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176535 + ... + 1485225.

It is an arithmetic number, because the mean of its divisors is an integer number (25812968181).

Almost surely, 2^{1087365178080} is an apocalyptic number.

1087365178080 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 1087365178080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858533709032).

1087365178080 is an abundant number, since it is smaller than the sum of its proper divisors (2629702239984).

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

1087365178080 is a wasteful number, since it uses less digits than its factorization.

1087365178080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309289 (or 1309278 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 1087365178080 in words is "one trillion, eighty-seven billion, three hundred sixty-five million, one hundred seventy-eight thousand, eighty".