11290058208000 has 4608 divisors, whose sum is σ = 53226309427200. Its totient is φ = 2316238848000.

The previous prime is 11290058207963. The next prime is 11290058208001. The reversal of 11290058208000 is 80285009211.

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

It is not an unprimeable number, because it can be changed into a prime (11290058208001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 82409183932 + ... + 82409184068.

It is an arithmetic number, because the mean of its divisors is an integer number (11550848400).

Almost surely, 2^{11290058208000} is an apocalyptic number.

11290058208000 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 11290058208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26613154713600).

11290058208000 is an abundant number, since it is smaller than the sum of its proper divisors (41936251219200).

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

11290058208000 is a wasteful number, since it uses less digits than its factorization.

11290058208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 11290058208000 in words is "eleven trillion, two hundred ninety billion, fifty-eight million, two hundred eight thousand".