11270822400 has 360 divisors, whose sum is σ = 40606847424. Its totient is φ = 2985369600.

The previous prime is 11270822399. The next prime is 11270822417. The reversal of 11270822400 is 422807211.

11270822400 is a `hidden beast` number, since 112 + 70 + 82 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26150185 + ... + 26150615.

Almost surely, 2^11270822400 is an apocalyptic number.

11270822400 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 11270822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20303423712).

11270822400 is an abundant number, since it is smaller than the sum of its proper divisors (29336025024).

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

11270822400 is a wasteful number, since it uses less digits than its factorization.

11270822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 11270822400 in words is "eleven billion, two hundred seventy million, eight hundred twenty-two thousand, four hundred".