11781611352 has 480 divisors, whose sum is σ = 41216472000. Its totient is φ = 3125485440.

The previous prime is 11781611341. The next prime is 11781611353. The reversal of 11781611352 is 25311618711.

It is a happy number.

11781611352 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 1 + 611 + 35 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11781611353) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 35593827 + ... + 35594157.

It is an arithmetic number, because the mean of its divisors is an integer number (85867650).

Almost surely, 2^11781611352 is an apocalyptic number.

11781611352 is a gapful number since it is divisible by the number (12) 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 11781611352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20608236000).

11781611352 is an abundant number, since it is smaller than the sum of its proper divisors (29434860648).

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

11781611352 is a wasteful number, since it uses less digits than its factorization.

11781611352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 421 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The spelling of 11781611352 in words is "eleven billion, seven hundred eighty-one million, six hundred eleven thousand, three hundred fifty-two".