11266455200 has 432 divisors, whose sum is σ = 37237616640. Its totient is φ = 3238963200.

The previous prime is 11266455197. The next prime is 11266455259. The reversal of 11266455200 is 255466211.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8808161 + ... + 8809439.

Almost surely, 2^11266455200 is an apocalyptic number.

11266455200 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 11266455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18618808320).

11266455200 is an abundant number, since it is smaller than the sum of its proper divisors (25971161440).

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

11266455200 is a wasteful number, since it uses less digits than its factorization.

11266455200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 11266455200 in words is "eleven billion, two hundred sixty-six million, four hundred fifty-five thousand, two hundred".