11601141288750 has 240 divisors, whose sum is σ = 33833648616768. Its totient is φ = 2855005920000.

The previous prime is 11601141288691. The next prime is 11601141288811. The reversal of 11601141288750 is 5788214110611.

It is a happy number.

11601141288750 is a `hidden beast` number, since 1 + 1 + 601 + 14 + 1 + 28 + 8 + 7 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 11601141288696 and 11601141288705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1025645595 + ... + 1025656905.

Almost surely, 2^{11601141288750} is an apocalyptic number.

11601141288750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11601141288750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16916824308384).

11601141288750 is an abundant number, since it is smaller than the sum of its proper divisors (22232507328018).

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

11601141288750 is a wasteful number, since it uses less digits than its factorization.

11601141288750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18365 (or 18347 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 45.

The spelling of 11601141288750 in words is "eleven trillion, six hundred one billion, one hundred forty-one million, two hundred eighty-eight thousand, seven hundred fifty".