11551306110 has 64 divisors (see below), whose sum is σ = 28393146432. Its totient is φ = 3006775296.

The previous prime is 11551306099. The next prime is 11551306121. The reversal of 11551306110 is 1160315511.

It is a happy number.

11551306110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11551306099) and next prime (11551306121).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185242 + ... + 239618.

It is an arithmetic number, because the mean of its divisors is an integer number (443642913).

Almost surely, 2^11551306110 is an apocalyptic number.

11551306110 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 11551306110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14196573216).

11551306110 is an abundant number, since it is smaller than the sum of its proper divisors (16841840322).

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

11551306110 is a wasteful number, since it uses less digits than its factorization.

11551306110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54557.

The product of its (nonzero) digits is 450, while the sum is 24.

The spelling of 11551306110 in words is "eleven billion, five hundred fifty-one million, three hundred six thousand, one hundred ten".