11108552350896 has 1200 divisors, whose sum is σ = 44900172427264. Its totient is φ = 2577370752000.

The previous prime is 11108552350871. The next prime is 11108552350897. The reversal of 11108552350896 is 69805325580111.

11108552350896 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 8 + 552 + 3 + 5 + 0 + 89 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11108552350897) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 442365381 + ... + 442390491.

Almost surely, 2^{11108552350896} is an apocalyptic number.

11108552350896 is a gapful number since it is divisible by the number (16) 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 11108552350896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22450086213632).

11108552350896 is an abundant number, since it is smaller than the sum of its proper divisors (33791620076368).

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

11108552350896 is a wasteful number, since it uses less digits than its factorization.

11108552350896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25204 (or 25178 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 11108552350896 in words is "eleven trillion, one hundred eight billion, five hundred fifty-two million, three hundred fifty thousand, eight hundred ninety-six".