11444086080 has 896 divisors, whose sum is σ = 50796748800. Its totient is φ = 2364899328.

The previous prime is 11444086079. The next prime is 11444086097. The reversal of 11444086080 is 8068044411.

11444086080 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 40 + 8 + 608 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26429544 + ... + 26429976.

It is an arithmetic number, because the mean of its divisors is an integer number (56692800).

Almost surely, 2^11444086080 is an apocalyptic number.

11444086080 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 11444086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25398374400).

11444086080 is an abundant number, since it is smaller than the sum of its proper divisors (39352662720).

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

11444086080 is a wasteful number, since it uses less digits than its factorization.

11444086080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 11444086080 in words is "eleven billion, four hundred forty-four million, eighty-six thousand, eighty".