11153404350 has 480 divisors, whose sum is σ = 35730525600. Its totient is φ = 2554675200.

The previous prime is 11153404349. The next prime is 11153404363. The reversal of 11153404350 is 5340435111.

11153404350 = T₁₄₄ + T₁₄₅ + ... + T₄₀₅₉.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 114983502 + ... + 114983598.

It is an arithmetic number, because the mean of its divisors is an integer number (74438595).

Almost surely, 2^11153404350 is an apocalyptic number.

11153404350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11153404350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17865262800).

11153404350 is an abundant number, since it is smaller than the sum of its proper divisors (24577121250).

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

11153404350 is a wasteful number, since it uses less digits than its factorization.

11153404350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 11153404350 its reverse (5340435111), we get a palindrome (16493839461).

The spelling of 11153404350 in words is "eleven billion, one hundred fifty-three million, four hundred four thousand, three hundred fifty".