11006513280000 has 2200 divisors, whose sum is σ = 47973999656000. Its totient is φ = 2511710208000.

The previous prime is 11006513279977. The next prime is 11006513280083. The reversal of 11006513280000 is 8231560011.

11006513280000 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 651 + 3 + 2 + 8 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×11006513280000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 17781119691 + ... + 17781120309.

It is an arithmetic number, because the mean of its divisors is an integer number (21806363480).

Almost surely, 2^{11006513280000} is an apocalyptic number.

11006513280000 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 11006513280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23986999828000).

11006513280000 is an abundant number, since it is smaller than the sum of its proper divisors (36967486376000).

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

11006513280000 is an frugal number, since it uses more digits than its factorization.

11006513280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 11006513280000 in words is "eleven trillion, six billion, five hundred thirteen million, two hundred eighty thousand".