11510434016 has 48 divisors (see below), whose sum is σ = 23290066800. Its totient is φ = 5596674048.

The previous prime is 11510434009. The next prime is 11510434037. The reversal of 11510434016 is 61043401511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296840 + ... + 333368.

It is an arithmetic number, because the mean of its divisors is an integer number (485209725).

Almost surely, 2^11510434016 is an apocalyptic number.

11510434016 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 11510434016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11645033400).

11510434016 is an abundant number, since it is smaller than the sum of its proper divisors (11779632784).

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

11510434016 is a wasteful number, since it uses less digits than its factorization.

11510434016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36811 (or 36803 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 11510434016 its reverse (61043401511), we get a palindrome (72553835527).

The spelling of 11510434016 in words is "eleven billion, five hundred ten million, four hundred thirty-four thousand, sixteen".