11284992000 has 624 divisors, whose sum is σ = 42525050880. Its totient is φ = 2875392000.

The previous prime is 11284991947. The next prime is 11284992001. The reversal of 11284992000 is 29948211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11284992001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142847961 + ... + 142848039.

It is an arithmetic number, because the mean of its divisors is an integer number (68149120).

Almost surely, 2^11284992000 is an apocalyptic number.

11284992000 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 11284992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21262525440).

11284992000 is an abundant number, since it is smaller than the sum of its proper divisors (31240058880).

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

11284992000 is an equidigital number, since it uses as much as digits as its factorization.

11284992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 11284992000 in words is "eleven billion, two hundred eighty-four million, nine hundred ninety-two thousand".