11582578617138 has 48 divisors (see below), whose sum is σ = 26423721679680. Its totient is φ = 3656643655392.

The previous prime is 11582578617101. The next prime is 11582578617139. The reversal of 11582578617138 is 83171687528511.

11582578617138 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 2 + 5 + 7 + 8 + 617 + 1 + 3 + 8 = 666.

It is a super-2 number, since 2×11582578617138² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11582578617139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3451206 + ... + 5922497.

It is an arithmetic number, because the mean of its divisors is an integer number (550494201660).

Almost surely, 2^{11582578617138} is an apocalyptic number.

11582578617138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11582578617138 is an abundant number, since it is smaller than the sum of its proper divisors (14841143062542).

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

11582578617138 is a wasteful number, since it uses less digits than its factorization.

11582578617138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9377343 (or 9377340 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 63.

The spelling of 11582578617138 in words is "eleven trillion, five hundred eighty-two billion, five hundred seventy-eight million, six hundred seventeen thousand, one hundred thirty-eight".