11465259772960 has 96 divisors (see below), whose sum is σ = 30962287843200. Its totient is φ = 3930173325312.

The previous prime is 11465259772903. The next prime is 11465259772963. The reversal of 11465259772960 is 6927795256411.

11465259772960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×11465259772960⁴ (a number of 53 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 = 11465259772892 and 11465259772901.

It is not an unprimeable number, because it can be changed into a prime (11465259772963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4707072 + ... + 6714688.

It is an arithmetic number, because the mean of its divisors is an integer number (322523831700).

Almost surely, 2^{11465259772960} is an apocalyptic number.

11465259772960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11465259772960 is an abundant number, since it is smaller than the sum of its proper divisors (19497028070240).

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

11465259772960 is a wasteful number, since it uses less digits than its factorization.

11465259772960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012738 (or 2012730 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 64.

The spelling of 11465259772960 in words is "eleven trillion, four hundred sixty-five billion, two hundred fifty-nine million, seven hundred seventy-two thousand, nine hundred sixty".