11087411512320 has 1584 divisors, whose sum is σ = 45634744913472. Its totient is φ = 2467316367360.

The previous prime is 11087411512291. The next prime is 11087411512363. The reversal of 11087411512320 is 2321511478011.

It is a happy number.

11087411512320 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 7 + 411 + 5 + 1 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 29724963654 + ... + 29724964026.

It is an arithmetic number, because the mean of its divisors is an integer number (28809813708).

Almost surely, 2^{11087411512320} is an apocalyptic number.

11087411512320 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 11087411512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22817372456736).

11087411512320 is an abundant number, since it is smaller than the sum of its proper divisors (34547333401152).

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

11087411512320 is a wasteful number, since it uses less digits than its factorization.

11087411512320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 11087411512320 in words is "eleven trillion, eighty-seven billion, four hundred eleven million, five hundred twelve thousand, three hundred twenty".