19956678628320 has 1728 divisors, whose sum is σ = 83126848057344. Its totient is φ = 4342158213120.

The previous prime is 19956678628303. The next prime is 19956678628343. The reversal of 19956678628320 is 2382687665991.

It is a happy number.

19956678628320 is a `hidden beast` number, since 1 + 9 + 9 + 566 + 7 + 8 + 6 + 28 + 32 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 63759356484 + ... + 63759356796.

It is an arithmetic number, because the mean of its divisors is an integer number (48105814848).

Almost surely, 2^{19956678628320} is an apocalyptic number.

19956678628320 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 19956678628320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41563424028672).

19956678628320 is an abundant number, since it is smaller than the sum of its proper divisors (63170169429024).

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

19956678628320 is a wasteful number, since it uses less digits than its factorization.

19956678628320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 19956678628320 in words is "nineteen trillion, nine hundred fifty-six billion, six hundred seventy-eight million, six hundred twenty-eight thousand, three hundred twenty".