11306822400 has 540 divisors, whose sum is σ = 44300180232. Its totient is φ = 2835578880.

The previous prime is 11306822399. The next prime is 11306822407. The reversal of 11306822400 is 422860311.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11306822407) 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 59 ways as a sum of consecutive naturals, for example, 8812159 + ... + 8813441.

Almost surely, 2^11306822400 is an apocalyptic number.

11306822400 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 11306822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22150090116).

11306822400 is an abundant number, since it is smaller than the sum of its proper divisors (32993357832).

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

11306822400 is a wasteful number, since it uses less digits than its factorization.

11306822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11306822400 in words is "eleven billion, three hundred six million, eight hundred twenty-two thousand, four hundred".