11315392577000 has 128 divisors (see below), whose sum is σ = 27331697147040. Its totient is φ = 4381471180800.

The previous prime is 11315392576997. The next prime is 11315392577033. The reversal of 11315392577000 is 77529351311.

It can be written as a sum of positive squares in 16 ways, for example, as 803959703044 + 10511432873956 = 896638^2 + 3242134^2 .

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 31 ways as a sum of consecutive naturals, for example, 6512804 + ... + 8065196.

Almost surely, 2^{11315392577000} is an apocalyptic number.

11315392577000 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 11315392577000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13665848573520).

11315392577000 is an abundant number, since it is smaller than the sum of its proper divisors (16016304570040).

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

11315392577000 is a wasteful number, since it uses less digits than its factorization.

11315392577000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552648 (or 1552634 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 44.

The spelling of 11315392577000 in words is "eleven trillion, three hundred fifteen billion, three hundred ninety-two million, five hundred seventy-seven thousand".