19252035419064 has 256 divisors, whose sum is σ = 58294754611200. Its totient is φ = 5175728409600.

The previous prime is 19252035419063. The next prime is 19252035419147. The reversal of 19252035419064 is 46091453025291.

It is a junction number, because it is equal to n+sod(n) for n = 19252035418998 and 19252035419016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19252035419063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 330665284 + ... + 330723500.

It is an arithmetic number, because the mean of its divisors is an integer number (227713885200).

Almost surely, 2^{19252035419064} is an apocalyptic number.

19252035419064 is a gapful number since it is divisible by the number (14) 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 19252035419064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29147377305600).

19252035419064 is an abundant number, since it is smaller than the sum of its proper divisors (39042719192136).

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

19252035419064 is a wasteful number, since it uses less digits than its factorization.

19252035419064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58954 (or 58950 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 19252035419064 in words is "nineteen trillion, two hundred fifty-two billion, thirty-five million, four hundred nineteen thousand, sixty-four".