19616829779840 has 256 divisors, whose sum is σ = 52097209136640. Its totient is φ = 7029758361600.

The previous prime is 19616829779837. The next prime is 19616829779867. The reversal of 19616829779840 is 4897792861691.

It is a happy number.

It is a super-2 number, since 2×19616829779840² (a number of 27 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 20097344 + ... + 21050816.

It is an arithmetic number, because the mean of its divisors is an integer number (203504723190).

Almost surely, 2^{19616829779840} is an apocalyptic number.

19616829779840 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 19616829779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26048604568320).

19616829779840 is an abundant number, since it is smaller than the sum of its proper divisors (32480379356800).

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

19616829779840 is a wasteful number, since it uses less digits than its factorization.

19616829779840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953601 (or 953589 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 77.

The spelling of 19616829779840 in words is "nineteen trillion, six hundred sixteen billion, eight hundred twenty-nine million, seven hundred seventy-nine thousand, eight hundred forty".