21808016519040 has 1280 divisors, whose sum is σ = 86328186531840. Its totient is φ = 5221756108800.

The previous prime is 21808016519039. The next prime is 21808016519053. The reversal of 21808016519040 is 4091561080812.

It is a happy number.

21808016519040 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 80 + 16 + 519 + 0 + 40 = 666.

It is a super-3 number, since 3×21808016519040³ (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1939691659 + ... + 1939702901.

It is an arithmetic number, because the mean of its divisors is an integer number (67443895728).

Almost surely, 2^{21808016519040} is an apocalyptic number.

21808016519040 is a gapful number since it is divisible by the number (20) 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 21808016519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43164093265920).

21808016519040 is an abundant number, since it is smaller than the sum of its proper divisors (64520170012800).

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

21808016519040 is a wasteful number, since it uses less digits than its factorization.

21808016519040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11393 (or 11372 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

Adding to 21808016519040 its reverse (4091561080812), we get a palindrome (25899577599852).

The spelling of 21808016519040 in words is "twenty-one trillion, eight hundred eight billion, sixteen million, five hundred nineteen thousand, forty".