10011116402304 has 128 divisors (see below), whose sum is σ = 27451797972480. Its totient is φ = 3229161492480.

The previous prime is 10011116402303. The next prime is 10011116402311. The reversal of 10011116402304 is 40320461111001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10011116402303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263452234 + ... + 263490230.

It is an arithmetic number, because the mean of its divisors is an integer number (214467171660).

Almost surely, 2^{10011116402304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011116402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13725898986240).

10011116402304 is an abundant number, since it is smaller than the sum of its proper divisors (17440681570176).

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

10011116402304 is a wasteful number, since it uses less digits than its factorization.

10011116402304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60178 (or 60166 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 10011116402304 its reverse (40320461111001), we get a palindrome (50331577513305).

The spelling of 10011116402304 in words is "ten trillion, eleven billion, one hundred sixteen million, four hundred two thousand, three hundred four".