11019906759680 has 528 divisors, whose sum is σ = 33516014747040. Its totient is φ = 3445514698752.

The previous prime is 11019906759677. The next prime is 11019906759713. The reversal of 11019906759680 is 8695760991011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270679166 + ... + 270719874.

Almost surely, 2^{11019906759680} is an apocalyptic number.

11019906759680 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 11019906759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16758007373520).

11019906759680 is an abundant number, since it is smaller than the sum of its proper divisors (22496107987360).

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

11019906759680 is a wasteful number, since it uses less digits than its factorization.

11019906759680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40844 (or 40819 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 62.

The spelling of 11019906759680 in words is "eleven trillion, nineteen billion, nine hundred six million, seven hundred fifty-nine thousand, six hundred eighty".