1087733090304 has 720 divisors, whose sum is σ = 3978904129200. Its totient is φ = 294382190592.

The previous prime is 1087733090239. The next prime is 1087733090333. The reversal of 1087733090304 is 4030903377801.

1087733090304 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 7 + 330 + 9 + 0 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1087733090304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 154438207 + ... + 154445249.

It is an arithmetic number, because the mean of its divisors is an integer number (5526255735).

Almost surely, 2^{1087733090304} is an apocalyptic number.

1087733090304 is a gapful number since it is divisible by the number (14) 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 1087733090304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989452064600).

1087733090304 is an abundant number, since it is smaller than the sum of its proper divisors (2891171038896).

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

1087733090304 is an equidigital number, since it uses as much as digits as its factorization.

1087733090304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7110 (or 7074 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 1087733090304 in words is "one trillion, eighty-seven billion, seven hundred thirty-three million, ninety thousand, three hundred four".