19872338976000 has 864 divisors, whose sum is σ = 83264048195328. Its totient is φ = 4456522137600.

The previous prime is 19872338975999. The next prime is 19872338976011. The reversal of 19872338976000 is 67983327891.

19872338976000 is a `hidden beast` number, since 1 + 98 + 72 + 338 + 97 + 60 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106755007 + ... + 106940993.

It is an arithmetic number, because the mean of its divisors is an integer number (96370426152).

Almost surely, 2^{19872338976000} is an apocalyptic number.

19872338976000 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 19872338976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41632024097664).

19872338976000 is an abundant number, since it is smaller than the sum of its proper divisors (63391709219328).

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

19872338976000 is a wasteful number, since it uses less digits than its factorization.

19872338976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186084 (or 186057 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 19872338976000 in words is "nineteen trillion, eight hundred seventy-two billion, three hundred thirty-eight million, nine hundred seventy-six thousand".