19226090880 has 512 divisors, whose sum is σ = 74027520000. Its totient is φ = 4697948160.

The previous prime is 19226090869. The next prime is 19226090887. The reversal of 19226090880 is 8809062291.

19226090880 is a `hidden beast` number, since 19 + 22 + 609 + 0 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19226090887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10176976 + ... + 10178864.

It is an arithmetic number, because the mean of its divisors is an integer number (144585000).

Almost surely, 2^19226090880 is an apocalyptic number.

19226090880 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 19226090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37013760000).

19226090880 is an abundant number, since it is smaller than the sum of its proper divisors (54801429120).

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

19226090880 is a wasteful number, since it uses less digits than its factorization.

19226090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 19226090880 in words is "nineteen billion, two hundred twenty-six million, ninety thousand, eight hundred eighty".