11642612889600 has 2016 divisors, whose sum is σ = 53972984257920. Its totient is φ = 2418647040000.

The previous prime is 11642612889577. The next prime is 11642612889629. The reversal of 11642612889600 is 698821624611.

11642612889600 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 2 + 6 + 1 + 28 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×11642612889600³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 2874007575 + ... + 2874011625.

It is an arithmetic number, because the mean of its divisors is an integer number (26772313620).

Almost surely, 2^{11642612889600} is an apocalyptic number.

11642612889600 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 11642612889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26986492128960).

11642612889600 is an abundant number, since it is smaller than the sum of its proper divisors (42330371368320).

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

11642612889600 is an equidigital number, since it uses as much as digits as its factorization.

11642612889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119 (or 4079 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 11642612889600 in words is "eleven trillion, six hundred forty-two billion, six hundred twelve million, eight hundred eighty-nine thousand, six hundred".