11642505744100 has 288 divisors, whose sum is σ = 32410440099072. Its totient is φ = 3525100800000.

The previous prime is 11642505744043. The next prime is 11642505744101. The reversal of 11642505744100 is 144750524611.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11642505744101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41076870 + ... + 41359330.

It is an arithmetic number, because the mean of its divisors is an integer number (112536250344).

Almost surely, 2^{11642505744100} is an apocalyptic number.

11642505744100 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 11642505744100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16205220049536).

11642505744100 is an abundant number, since it is smaller than the sum of its proper divisors (20767934354972).

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

11642505744100 is a wasteful number, since it uses less digits than its factorization.

11642505744100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282647 (or 282640 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 11642505744100 in words is "eleven trillion, six hundred forty-two billion, five hundred five million, seven hundred forty-four thousand, one hundred".