11553264016 has 160 divisors (see below), whose sum is σ = 27326251008. Its totient is φ = 4627791360.

The previous prime is 11553264011. The next prime is 11553264061. The reversal of 11553264016 is 61046235511.

It is not an unprimeable number, because it can be changed into a prime (11553264011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13543846 + ... + 13544698.

Almost surely, 2^11553264016 is an apocalyptic number.

11553264016 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 11553264016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13663125504).

11553264016 is an abundant number, since it is smaller than the sum of its proper divisors (15772986992).

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

11553264016 is a wasteful number, since it uses less digits than its factorization.

11553264016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

Adding to 11553264016 its reverse (61046235511), we get a palindrome (72599499527).

The spelling of 11553264016 in words is "eleven billion, five hundred fifty-three million, two hundred sixty-four thousand, sixteen".