21819489509376 has 1120 divisors, whose sum is σ = 75034695711360. Its totient is φ = 6262253420544.

The previous prime is 21819489509347. The next prime is 21819489509387. The reversal of 21819489509376 is 67390598491812.

21819489509376 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 9 + 4 + 89 + 509 + 37 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10981121055 + ... + 10981123041.

It is an arithmetic number, because the mean of its divisors is an integer number (66995264028).

It is a 2-persistent number, because it is pandigital, and so is 2⋅21819489509376 = 43638979018752, but 3⋅21819489509376 = 65458468528128 is not.

Almost surely, 2^{21819489509376} is an apocalyptic number.

21819489509376 is a gapful number since it is divisible by the number (26) 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 21819489509376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37517347855680).

21819489509376 is an abundant number, since it is smaller than the sum of its proper divisors (53215206201984).

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

21819489509376 is a wasteful number, since it uses less digits than its factorization.

21819489509376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 21819489509376 in words is "twenty-one trillion, eight hundred nineteen billion, four hundred eighty-nine million, five hundred nine thousand, three hundred seventy-six".