11285587200 has 432 divisors, whose sum is σ = 39157938176. Its totient is φ = 2858803200.

The previous prime is 11285587199. The next prime is 11285587211. The reversal of 11285587200 is 278558211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39878259 + ... + 39878541.

Almost surely, 2^11285587200 is an apocalyptic number.

11285587200 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 11285587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19578969088).

11285587200 is an abundant number, since it is smaller than the sum of its proper divisors (27872350976).

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

11285587200 is a wasteful number, since it uses less digits than its factorization.

11285587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 39.

The spelling of 11285587200 in words is "eleven billion, two hundred eighty-five million, five hundred eighty-seven thousand, two hundred".