189772665640000 has 105 divisors (see below), whose sum is σ = 470581366671427. Its totient is φ = 75907964192000.

The previous prime is 189772665639989. The next prime is 189772665640087. The reversal of 189772665640000 is 46566277981.

It is a happy number.

The square root of 189772665640000 is 13775800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 14878176986176 + 174894488653824 = 3857224^2 + 13224768^2 .

It is a super-2 number, since 2×189772665640000² (a number of 29 digits) contains 22 as substring.

It is a Duffinian 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 14 ways as a sum of consecutive naturals, for example, 2755125561 + ... + 2755194439.

Almost surely, 2^{189772665640000} is an apocalyptic number.

189772665640000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

189772665640000 is the 13775800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189772665640000

189772665640000 is an abundant number, since it is smaller than the sum of its proper divisors (280808701031427).

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

189772665640000 is an frugal number, since it uses more digits than its factorization.

189772665640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137790 (or 68886 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 61.

The spelling of 189772665640000 in words is "one hundred eighty-nine trillion, seven hundred seventy-two billion, six hundred sixty-five million, six hundred forty thousand".