11516977152 has 168 divisors, whose sum is σ = 34349253120. Its totient is φ = 3714416640.

The previous prime is 11516977139. The next prime is 11516977211. The reversal of 11516977152 is 25177961511.

11516977152 is a `hidden beast` number, since 11 + 516 + 9 + 7 + 71 + 52 = 666.

It is a super-4 number, since 4×11516977152⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 11516977098 and 11516977107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2283049 + ... + 2288087.

It is an arithmetic number, because the mean of its divisors is an integer number (204459840).

Almost surely, 2^11516977152 is an apocalyptic number.

11516977152 is a gapful number since it is divisible by the number (12) 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 11516977152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17174626560).

11516977152 is an abundant number, since it is smaller than the sum of its proper divisors (22832275968).

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

11516977152 is an equidigital number, since it uses as much as digits as its factorization.

11516977152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5102 (or 5075 counting only the distinct ones).

The product of its digits is 132300, while the sum is 45.

The spelling of 11516977152 in words is "eleven billion, five hundred sixteen million, nine hundred seventy-seven thousand, one hundred fifty-two".