11281030572000 has 1536 divisors, whose sum is σ = 44838172753920. Its totient is φ = 2425420800000.

The previous prime is 11281030571971. The next prime is 11281030572013. The reversal of 11281030572000 is 27503018211.

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 255 ways as a sum of consecutive naturals, for example, 15517235637 + ... + 15517236363.

It is an arithmetic number, because the mean of its divisors is an integer number (29191518720).

Almost surely, 2^{11281030572000} is an apocalyptic number.

11281030572000 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 11281030572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22419086376960).

11281030572000 is an abundant number, since it is smaller than the sum of its proper divisors (33557142181920).

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

11281030572000 is a wasteful number, since it uses less digits than its factorization.

11281030572000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 11281030572000 in words is "eleven trillion, two hundred eighty-one billion, thirty million, five hundred seventy-two thousand".