11349172800 has 1008 divisors, whose sum is σ = 50411237760. Its totient is φ = 2362245120.

The previous prime is 11349172771. The next prime is 11349172843. The reversal of 11349172800 is 827194311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 63403111 + ... + 63403289.

Almost surely, 2^11349172800 is an apocalyptic number.

11349172800 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 11349172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25205618880).

11349172800 is an abundant number, since it is smaller than the sum of its proper divisors (39062064960).

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

11349172800 is a wasteful number, since it uses less digits than its factorization.

11349172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11349172800 in words is "eleven billion, three hundred forty-nine million, one hundred seventy-two thousand, eight hundred".