11582087324670 has 128 divisors (see below), whose sum is σ = 31305637440000. Its totient is φ = 3046756985856.

The previous prime is 11582087324663. The next prime is 11582087324701. The reversal of 11582087324670 is 7642378028511.

11582087324670 is a `hidden beast` number, since 1 + 1 + 58 + 20 + 87 + 32 + 467 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7320081 + ... + 8760579.

It is an arithmetic number, because the mean of its divisors is an integer number (244575292500).

Almost surely, 2^{11582087324670} is an apocalyptic number.

11582087324670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11582087324670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15652818720000).

11582087324670 is an abundant number, since it is smaller than the sum of its proper divisors (19723550115330).

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

11582087324670 is a wasteful number, since it uses less digits than its factorization.

11582087324670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440919 (or 1440913 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 11582087324670 in words is "eleven trillion, five hundred eighty-two billion, eighty-seven million, three hundred twenty-four thousand, six hundred seventy".