11464364560 has 80 divisors (see below), whose sum is σ = 29365924032. Its totient is φ = 4127552000.

The previous prime is 11464364543. The next prime is 11464364563. The reversal of 11464364560 is 6546346411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11464364563) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24387 + ... + 153373.

Almost surely, 2^11464364560 is an apocalyptic number.

11464364560 is a gapful number since it is divisible by the number (10) 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 11464364560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14682962016).

11464364560 is an abundant number, since it is smaller than the sum of its proper divisors (17901559472).

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

11464364560 is a wasteful number, since it uses less digits than its factorization.

11464364560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129112 (or 129106 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 11464364560 in words is "eleven billion, four hundred sixty-four million, three hundred sixty-four thousand, five hundred sixty".