11700540311040 has 1440 divisors, whose sum is σ = 50761834025760. Its totient is φ = 2474188996608.

The previous prime is 11700540311017. The next prime is 11700540311059. The reversal of 11700540311040 is 4011304500711.

11700540311040 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 0 + 540 + 3 + 110 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a junction number, because it is equal to n+sod(n) for n = 11700540310995 and 11700540311013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1132341714 + ... + 1132352046.

It is an arithmetic number, because the mean of its divisors is an integer number (35251273629).

Almost surely, 2^{11700540311040} is an apocalyptic number.

11700540311040 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 11700540311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25380917012880).

11700540311040 is an abundant number, since it is smaller than the sum of its proper divisors (39061293714720).

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

11700540311040 is a wasteful number, since it uses less digits than its factorization.

11700540311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10452 (or 10426 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 11700540311040 its reverse (4011304500711), we get a palindrome (15711844811751).

The spelling of 11700540311040 in words is "eleven trillion, seven hundred billion, five hundred forty million, three hundred eleven thousand, forty".