11555131103040 has 448 divisors, whose sum is σ = 44041436651520. Its totient is φ = 2509603430400.

The previous prime is 11555131103011. The next prime is 11555131103057. The reversal of 11555131103040 is 4030113155511.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11555131102989 and 11555131103007.

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, 23091006 + ... + 23586114.

It is an arithmetic number, because the mean of its divisors is an integer number (98306778240).

Almost surely, 2^{11555131103040} is an apocalyptic number.

11555131103040 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 11555131103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22020718325760).

11555131103040 is an abundant number, since it is smaller than the sum of its proper divisors (32486305548480).

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

11555131103040 is a wasteful number, since it uses less digits than its factorization.

11555131103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495310 (or 495300 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

Adding to 11555131103040 its reverse (4030113155511), we get a palindrome (15585244258551).

The spelling of 11555131103040 in words is "eleven trillion, five hundred fifty-five billion, one hundred thirty-one million, one hundred three thousand, forty".