11219064890880 has 960 divisors, whose sum is σ = 47194225233408. Its totient is φ = 2208495697920.

The previous prime is 11219064890863. The next prime is 11219064890939. The reversal of 11219064890880 is 8809846091211.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 11219064890880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 213454684 + ... + 213507236.

Almost surely, 2^{11219064890880} is an apocalyptic number.

11219064890880 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 11219064890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23597112616704).

11219064890880 is an abundant number, since it is smaller than the sum of its proper divisors (35975160342528).

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

11219064890880 is a wasteful number, since it uses less digits than its factorization.

11219064890880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52635 (or 52600 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 57.

The spelling of 11219064890880 in words is "eleven trillion, two hundred nineteen billion, sixty-four million, eight hundred ninety thousand, eight hundred eighty".