11463298560 has 960 divisors, whose sum is σ = 49776135552. Its totient is φ = 2378170368.

The previous prime is 11463298559. The next prime is 11463298571. The reversal of 11463298560 is 6589236411.

11463298560 is a `hidden beast` number, since 1 + 1 + 4 + 63 + 29 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101445064 + ... + 101445176.

Almost surely, 2^11463298560 is an apocalyptic number.

11463298560 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 11463298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24888067776).

11463298560 is an abundant number, since it is smaller than the sum of its proper divisors (38312836992).

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

11463298560 is a wasteful number, since it uses less digits than its factorization.

11463298560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 11463298560 in words is "eleven billion, four hundred sixty-three million, two hundred ninety-eight thousand, five hundred sixty".