11018284290720 has 480 divisors, whose sum is σ = 44451847440000. Its totient is φ = 2517817042944.

The previous prime is 11018284290707. The next prime is 11018284290749. The reversal of 11018284290720 is 2709248281011.

11018284290720 is a `hidden beast` number, since 1 + 1 + 0 + 18 + 284 + 290 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×11018284290720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 412671931 + ... + 412698629.

It is an arithmetic number, because the mean of its divisors is an integer number (92608015500).

Almost surely, 2^{11018284290720} is an apocalyptic number.

11018284290720 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 11018284290720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22225923720000).

11018284290720 is an abundant number, since it is smaller than the sum of its proper divisors (33433563149280).

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

11018284290720 is a wasteful number, since it uses less digits than its factorization.

11018284290720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31282 (or 31265 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 11018284290720 in words is "eleven trillion, eighteen billion, two hundred eighty-four million, two hundred ninety thousand, seven hundred twenty".