189765797760 has 1024 divisors, whose sum is σ = 845276774400. Its totient is φ = 39086530560.

The previous prime is 189765797747. The next prime is 189765797777. The reversal of 189765797760 is 67797567981.

It is a super-2 number, since 2×189765797760² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 168980559 + ... + 168981681.

It is an arithmetic number, because the mean of its divisors is an integer number (825465600).

Almost surely, 2^189765797760 is an apocalyptic number.

189765797760 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 189765797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422638387200).

189765797760 is an abundant number, since it is smaller than the sum of its proper divisors (655510976640).

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

189765797760 is a wasteful number, since it uses less digits than its factorization.

189765797760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 280052640, while the sum is 72.

The spelling of 189765797760 in words is "one hundred eighty-nine billion, seven hundred sixty-five million, seven hundred ninety-seven thousand, seven hundred sixty".