19850774536320 has 1024 divisors, whose sum is σ = 80653805568000. Its totient is φ = 4125664198656.

The previous prime is 19850774536291. The next prime is 19850774536331. The reversal of 19850774536320 is 2363547705891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 573588457 + ... + 573623063.

It is an arithmetic number, because the mean of its divisors is an integer number (78763482000).

It is a 1-persistent number, because it is pandigital, but 2⋅19850774536320 = 39701549072640 is not.

Almost surely, 2^{19850774536320} is an apocalyptic number.

19850774536320 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 19850774536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40326902784000).

19850774536320 is an abundant number, since it is smaller than the sum of its proper divisors (60803031031680).

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

19850774536320 is a wasteful number, since it uses less digits than its factorization.

19850774536320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34730 (or 34704 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 60.

The spelling of 19850774536320 in words is "nineteen trillion, eight hundred fifty billion, seven hundred seventy-four million, five hundred thirty-six thousand, three hundred twenty".