11163074104000 has 896 divisors, whose sum is σ = 37374117580800. Its totient is φ = 3201372979200.

The previous prime is 11163074103983. The next prime is 11163074104027. The reversal of 11163074104000 is 40147036111.

It is a happy number.

It is a super-2 number, since 2×11163074104000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 11163074104000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 318118456 + ... + 318153544.

It is an arithmetic number, because the mean of its divisors is an integer number (41712184800).

Almost surely, 2^{11163074104000} is an apocalyptic number.

11163074104000 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 11163074104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18687058790400).

11163074104000 is an abundant number, since it is smaller than the sum of its proper divisors (26211043476800).

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

11163074104000 is a wasteful number, since it uses less digits than its factorization.

11163074104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35178 (or 35158 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 11163074104000 in words is "eleven trillion, one hundred sixty-three billion, seventy-four million, one hundred four thousand".