19789068828672 has 1360 divisors, whose sum is σ = 70340458003200. Its totient is φ = 5465545113600.

The previous prime is 19789068828643. The next prime is 19789068828689. The reversal of 19789068828672 is 27682886098791.

19789068828672 is a `hidden beast` number, since 197 + 8 + 9 + 0 + 6 + 88 + 286 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 19789068828591 and 19789068828600.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 99442556829 + ... + 99442557027.

Almost surely, 2^{19789068828672} is an apocalyptic number.

19789068828672 is a gapful number since it is divisible by the number (12) 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 19789068828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35170229001600).

19789068828672 is an abundant number, since it is smaller than the sum of its proper divisors (50551389174528).

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

19789068828672 is a wasteful number, since it uses less digits than its factorization.

19789068828672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 2341011456, while the sum is 81.

The spelling of 19789068828672 in words is "nineteen trillion, seven hundred eighty-nine billion, sixty-eight million, eight hundred twenty-eight thousand, six hundred seventy-two".