19725638296320 has 3456 divisors, whose sum is σ = 85496366592000. Its totient is φ = 4301966868480.

The previous prime is 19725638296307. The next prime is 19725638296327. The reversal of 19725638296320 is 2369283652791.

19725638296320 is a `hidden beast` number, since 1 + 9 + 7 + 2 + 563 + 8 + 2 + 9 + 63 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is not an unprimeable number, because it can be changed into a prime (19725638296327) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 141911066811 + ... + 141911066949.

It is an arithmetic number, because the mean of its divisors is an integer number (24738532000).

Almost surely, 2^{19725638296320} is an apocalyptic number.

19725638296320 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 19725638296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42748183296000).

19725638296320 is an abundant number, since it is smaller than the sum of its proper divisors (65770728295680).

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

19725638296320 is a wasteful number, since it uses less digits than its factorization.

19725638296320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 19725638296320 in words is "nineteen trillion, seven hundred twenty-five billion, six hundred thirty-eight million, two hundred ninety-six thousand, three hundred twenty".