11290656000 has 576 divisors, whose sum is σ = 41248247040. Its totient is φ = 2720563200.

The previous prime is 11290655989. The next prime is 11290656011. The reversal of 11290656000 is 65609211.

It is an interprime number because it is at equal distance from previous prime (11290655989) and next prime (11290656011).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103583946 + ... + 103584054.

It is an arithmetic number, because the mean of its divisors is an integer number (71611540).

Almost surely, 2^11290656000 is an apocalyptic number.

11290656000 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 11290656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20624123520).

11290656000 is an abundant number, since it is smaller than the sum of its proper divisors (29957591040).

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

11290656000 is a wasteful number, since it uses less digits than its factorization.

11290656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The spelling of 11290656000 in words is "eleven billion, two hundred ninety million, six hundred fifty-six thousand".