11360513152 has 64 divisors (see below), whose sum is σ = 23317395840. Its totient is φ = 5509278720.

The previous prime is 11360513137. The next prime is 11360513207. The reversal of 11360513152 is 25131506311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11360513152² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11360513152.

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 7 ways as a sum of consecutive naturals, for example, 1563993 + ... + 1571239.

It is an arithmetic number, because the mean of its divisors is an integer number (364334310).

Almost surely, 2^11360513152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11360513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11658697920).

11360513152 is an abundant number, since it is smaller than the sum of its proper divisors (11956882688).

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

11360513152 is an equidigital number, since it uses as much as digits as its factorization.

11360513152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7629 (or 7617 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The spelling of 11360513152 in words is "eleven billion, three hundred sixty million, five hundred thirteen thousand, one hundred fifty-two".