189953779680 has 1152 divisors, whose sum is σ = 797944283136. Its totient is φ = 40236134400.

The previous prime is 189953779667. The next prime is 189953779703. The reversal of 189953779680 is 86977359981.

189953779680 is a `hidden beast` number, since 1 + 8 + 9 + 9 + 537 + 7 + 9 + 6 + 80 = 666.

189953779680 is digitally balanced in base 7, 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 = 189953779599 and 189953779608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 900254775 + ... + 900254985.

It is an arithmetic number, because the mean of its divisors is an integer number (692659968).

Almost surely, 2^189953779680 is an apocalyptic number.

189953779680 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 189953779680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398972141568).

189953779680 is an abundant number, since it is smaller than the sum of its proper divisors (607990503456).

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

189953779680 is a wasteful number, since it uses less digits than its factorization.

189953779680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 72.

The spelling of 189953779680 in words is "one hundred eighty-nine billion, nine hundred fifty-three million, seven hundred seventy-nine thousand, six hundred eighty".