189068736055680 has 1024 divisors, whose sum is σ = 741241074067200. Its totient is φ = 45257473916928.

The previous prime is 189068736055669. The next prime is 189068736055697. The reversal of 189068736055680 is 86550637860981.

It is a happy number.

189068736055680 is a `hidden beast` number, since 1 + 8 + 9 + 0 + 6 + 8 + 7 + 3 + 60 + 556 + 8 + 0 = 666.

189068736055680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 189068736055599 and 189068736055608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1345298694 + ... + 1345439226.

Almost surely, 2^{189068736055680} is an apocalyptic number.

189068736055680 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 189068736055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370620537033600).

189068736055680 is an abundant number, since it is smaller than the sum of its proper divisors (552172338011520).

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

189068736055680 is a wasteful number, since it uses less digits than its factorization.

189068736055680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140740 (or 140722 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 189068736055680 in words is "one hundred eighty-nine trillion, sixty-eight billion, seven hundred thirty-six million, fifty-five thousand, six hundred eighty".