11219554080 has 384 divisors, whose sum is σ = 45026150400. Its totient is φ = 2556029952.

The previous prime is 11219554051. The next prime is 11219554091. The reversal of 11219554080 is 8045591211.

11219554080 is a `hidden beast` number, since 1 + 1 + 21 + 9 + 554 + 0 + 80 = 666.

11219554080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17024791 + ... + 17025449.

It is an arithmetic number, because the mean of its divisors is an integer number (117255600).

Almost surely, 2^11219554080 is an apocalyptic number.

11219554080 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 11219554080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22513075200).

11219554080 is an abundant number, since it is smaller than the sum of its proper divisors (33806596320).

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

11219554080 is a wasteful number, since it uses less digits than its factorization.

11219554080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 11219554080 in words is "eleven billion, two hundred nineteen million, five hundred fifty-four thousand, eighty".