11002217850000 has 1200 divisors, whose sum is σ = 43308970079760. Its totient is φ = 2680128000000.

The previous prime is 11002217849999. The next prime is 11002217850229. The reversal of 11002217850000 is 5871220011.

It can be written as a sum of positive squares in 24 ways, for example, as 8953117214976 + 2049100635024 = 2992176^2 + 1431468^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5317648966 + ... + 5317651034.

Almost surely, 2^{11002217850000} is an apocalyptic number.

11002217850000 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 11002217850000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21654485039880).

11002217850000 is an abundant number, since it is smaller than the sum of its proper divisors (32306752229760).

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

11002217850000 is a wasteful number, since it uses less digits than its factorization.

11002217850000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The spelling of 11002217850000 in words is "eleven trillion, two billion, two hundred seventeen million, eight hundred fifty thousand".