189769895239680 has 672 divisors, whose sum is σ = 751980719153664. Its totient is φ = 43365802180608.

The previous prime is 189769895239663. The next prime is 189769895239699. The reversal of 189769895239680 is 86932598967981.

189769895239680 is a `hidden beast` number, since 1 + 8 + 9 + 7 + 6 + 98 + 9 + 52 + 396 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×189769895239680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19877432667 + ... + 19877442213.

It is an arithmetic number, because the mean of its divisors is an integer number (1119018927312).

Almost surely, 2^{189769895239680} is an apocalyptic number.

189769895239680 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 189769895239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375990359576832).

189769895239680 is an abundant number, since it is smaller than the sum of its proper divisors (562210823913984).

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

189769895239680 is an equidigital number, since it uses as much as digits as its factorization.

189769895239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17294 (or 17267 counting only the distinct ones).

The product of its (nonzero) digits is 25395793920, while the sum is 90.

The spelling of 189769895239680 in words is "one hundred eighty-nine trillion, seven hundred sixty-nine billion, eight hundred ninety-five million, two hundred thirty-nine thousand, six hundred eighty".