11552538816 has 448 divisors, whose sum is σ = 42362485760. Its totient is φ = 3043464192.

The previous prime is 11552538791. The next prime is 11552538839. The reversal of 11552538816 is 61883525511.

11552538816 is a `hidden beast` number, since 1 + 1 + 552 + 5 + 3 + 88 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×11552538816² (a number of 21 digits) contains 22 as substring.

Its product of digits (288000) is a multiple of the sum of its prime factors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12736635 + ... + 12737541.

It is an arithmetic number, because the mean of its divisors is an integer number (94559120).

Almost surely, 2^11552538816 is an apocalyptic number.

11552538816 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 11552538816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21181242880).

11552538816 is an abundant number, since it is smaller than the sum of its proper divisors (30809946944).

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

11552538816 is an frugal number, since it uses more digits than its factorization.

11552538816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 932 counting only the distinct ones).

The product of its digits is 288000, while the sum is 45.

The spelling of 11552538816 in words is "eleven billion, five hundred fifty-two million, five hundred thirty-eight thousand, eight hundred sixteen".