11587745353428 has 36 divisors (see below), whose sum is σ = 29291356729908. Its totient is φ = 3862567077120.

The previous prime is 11587745353427. The next prime is 11587745353439. The reversal of 11587745353428 is 82435354778511.

11587745353428 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 7 + 74 + 5 + 3 + 534 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1921628067984 + 9666117285444 = 1386228^2 + 3109038^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11587745353427) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13300300 + ... + 14144732.

It is an arithmetic number, because the mean of its divisors is an integer number (813648798053).

Almost surely, 2^{11587745353428} is an apocalyptic number.

11587745353428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11587745353428 is an abundant number, since it is smaller than the sum of its proper divisors (17703611376480).

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

11587745353428 is a wasteful number, since it uses less digits than its factorization.

11587745353428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225624 (or 1225619 counting only the distinct ones).

The product of its digits is 112896000, while the sum is 63.

The spelling of 11587745353428 in words is "eleven trillion, five hundred eighty-seven billion, seven hundred forty-five million, three hundred fifty-three thousand, four hundred twenty-eight".