11588577640000 has 105 divisors (see below), whose sum is σ = 28737594620581. Its totient is φ = 4635158720000.

The previous prime is 11588577639973. The next prime is 11588577640001. The reversal of 11588577640000 is 4677588511.

The square root of 11588577640000 is 3404200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 2216358697536 + 9372218942464 = 1488744^2 + 3061408^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11588577640000.

It is not an unprimeable number, because it can be changed into a prime (11588577640001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 680831490 + ... + 680848510.

Almost surely, 2^{11588577640000} is an apocalyptic number.

11588577640000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11588577640000 is the 3404200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11588577640000

11588577640000 is an abundant number, since it is smaller than the sum of its proper divisors (17149016980581).

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

11588577640000 is an frugal number, since it uses more digits than its factorization.

11588577640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34074 (or 17028 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 52.

The spelling of 11588577640000 in words is "eleven trillion, five hundred eighty-eight billion, five hundred seventy-seven million, six hundred forty thousand".