11506505412140 has 192 divisors, whose sum is σ = 25611532369920. Its totient is φ = 4336363745280.

The previous prime is 11506505412137. The next prime is 11506505412179. The reversal of 11506505412140 is 4121450560511.

11506505412140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11506505412140² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11506505412140.

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, 3033614084 + ... + 3033617876.

It is an arithmetic number, because the mean of its divisors is an integer number (133393397760).

Almost surely, 2^{11506505412140} is an apocalyptic number.

11506505412140 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 11506505412140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12805766184960).

11506505412140 is an abundant number, since it is smaller than the sum of its proper divisors (14105026957780).

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

11506505412140 is a wasteful number, since it uses less digits than its factorization.

11506505412140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4672 (or 4670 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 35.

Adding to 11506505412140 its reverse (4121450560511), we get a palindrome (15627955972651).

The spelling of 11506505412140 in words is "eleven trillion, five hundred six billion, five hundred five million, four hundred twelve thousand, one hundred forty".