11460321600 has 336 divisors, whose sum is σ = 46277954688. Its totient is φ = 2417909760.

The previous prime is 11460321589. The next prime is 11460321617. The reversal of 11460321600 is 612306411.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 423682 + ... + 449918.

It is an arithmetic number, because the mean of its divisors is an integer number (137732008).

Almost surely, 2^11460321600 is an apocalyptic number.

11460321600 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 11460321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23138977344).

11460321600 is an abundant number, since it is smaller than the sum of its proper divisors (34817633088).

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

11460321600 is a wasteful number, since it uses less digits than its factorization.

11460321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26282 (or 26267 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 11460321600 in words is "eleven billion, four hundred sixty million, three hundred twenty-one thousand, six hundred".