11001420103680 has 2880 divisors, whose sum is σ = 46372906944000. Its totient is φ = 2482809864192.

The previous prime is 11001420103673. The next prime is 11001420103721. The reversal of 11001420103680 is 8630102410011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 186464747491 + ... + 186464747549.

It is an arithmetic number, because the mean of its divisors is an integer number (16101703800).

Almost surely, 2^{11001420103680} is an apocalyptic number.

11001420103680 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 11001420103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23186453472000).

11001420103680 is an abundant number, since it is smaller than the sum of its proper divisors (35371486840320).

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

11001420103680 is an equidigital number, since it uses as much as digits as its factorization.

11001420103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 11001420103680 its reverse (8630102410011), we get a palindrome (19631522513691).

The spelling of 11001420103680 in words is "eleven trillion, one billion, four hundred twenty million, one hundred three thousand, six hundred eighty".