11582537364060 has 192 divisors, whose sum is σ = 37106636112000. Its totient is φ = 2678373347328.

The previous prime is 11582537363993. The next prime is 11582537364113. The reversal of 11582537364060 is 6046373528511.

It is a super-3 number, since 3×11582537364060³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11582537363994 and 11582537364012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6082635 + ... + 7756514.

It is an arithmetic number, because the mean of its divisors is an integer number (193263729750).

Almost surely, 2^{11582537364060} is an apocalyptic number.

11582537364060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11582537364060 is an abundant number, since it is smaller than the sum of its proper divisors (25524098747940).

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

11582537364060 is a wasteful number, since it uses less digits than its factorization.

11582537364060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13839240 (or 13839238 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 11582537364060 in words is "eleven trillion, five hundred eighty-two billion, five hundred thirty-seven million, three hundred sixty-four thousand, sixty".