13582582807500 has 2160 divisors, whose sum is σ = 54881640253440. Its totient is φ = 2922998400000.

The previous prime is 13582582807481. The next prime is 13582582807601. The reversal of 13582582807500 is 570828528531.

13582582807500 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 2 + 58 + 2 + 80 + 7 + 500 = 666.

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

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 719 ways as a sum of consecutive naturals, for example, 37834492321 + ... + 37834492679.

It is an arithmetic number, because the mean of its divisors is an integer number (25408166784).

Almost surely, 2^{13582582807500} is an apocalyptic number.

13582582807500 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 13582582807500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27440820126720).

13582582807500 is an abundant number, since it is smaller than the sum of its proper divisors (41299057445940).

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

13582582807500 is a wasteful number, since it uses less digits than its factorization.

13582582807500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 13582582807500 in words is "thirteen trillion, five hundred eighty-two billion, five hundred eighty-two million, eight hundred seven thousand, five hundred".