19985850299520 has 1024 divisors, whose sum is σ = 81959980032000. Its totient is φ = 4508457615360.

The previous prime is 19985850299461. The next prime is 19985850299531. The reversal of 19985850299520 is 2599205858991.

It is a happy number.

19985850299520 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 5 + 8 + 5 + 0 + 2 + 99 + 520 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2908721685 + ... + 2908728555.

It is an arithmetic number, because the mean of its divisors is an integer number (80039043000).

Almost surely, 2^{19985850299520} is an apocalyptic number.

19985850299520 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 19985850299520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40979990016000).

19985850299520 is an abundant number, since it is smaller than the sum of its proper divisors (61974129732480).

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

19985850299520 is a wasteful number, since it uses less digits than its factorization.

19985850299520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7218 (or 7200 counting only the distinct ones).

The product of its (nonzero) digits is 209952000, while the sum is 72.

The spelling of 19985850299520 in words is "nineteen trillion, nine hundred eighty-five billion, eight hundred fifty million, two hundred ninety-nine thousand, five hundred twenty".