11263870800 has 960 divisors, whose sum is σ = 50337333760. Its totient is φ = 2329067520.

The previous prime is 11263870789. The next prime is 11263870823. The reversal of 11263870800 is 807836211.

11263870800 is a `hidden beast` number, since 1 + 12 + 638 + 7 + 0 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71744322 + ... + 71744478.

Almost surely, 2^11263870800 is an apocalyptic number.

11263870800 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 11263870800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25168666880).

11263870800 is an abundant number, since it is smaller than the sum of its proper divisors (39073462960).

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

11263870800 is a wasteful number, since it uses less digits than its factorization.

11263870800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11263870800 in words is "eleven billion, two hundred sixty-three million, eight hundred seventy thousand, eight hundred".