11285568000 has 800 divisors, whose sum is σ = 48198129408. Its totient is φ = 2571264000.

The previous prime is 11285567999. The next prime is 11285568013. The reversal of 11285568000 is 86558211.

11285568000 is a `hidden beast` number, since 1 + 1 + 28 + 556 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36287845 + ... + 36288155.

Almost surely, 2^11285568000 is an apocalyptic number.

11285568000 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 11285568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24099064704).

11285568000 is an abundant number, since it is smaller than the sum of its proper divisors (36912561408).

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

11285568000 is an frugal number, since it uses more digits than its factorization.

11285568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 11285568000 in words is "eleven billion, two hundred eighty-five million, five hundred sixty-eight thousand".