11936060640 has 384 divisors, whose sum is σ = 48407224320. Its totient is φ = 2690371584.

The previous prime is 11936060629. The next prime is 11936060641. The reversal of 11936060640 is 4606063911.

11936060640 is a `hidden beast` number, since 1 + 1 + 9 + 3 + 6 + 0 + 6 + 0 + 640 = 666.

11936060640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 11936060595 and 11936060604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11936060641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2204817 + ... + 2210223.

It is an arithmetic number, because the mean of its divisors is an integer number (126060480).

Almost surely, 2^11936060640 is an apocalyptic number.

11936060640 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 11936060640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24203612160).

11936060640 is an abundant number, since it is smaller than the sum of its proper divisors (36471163680).

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

11936060640 is a wasteful number, since it uses less digits than its factorization.

11936060640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5511 (or 5497 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 11936060640 in words is "eleven billion, nine hundred thirty-six million, sixty thousand, six hundred forty".