189857126025 has 216 divisors, whose sum is σ = 407155094424. Its totient is φ = 84284928000.

The previous prime is 189857126009. The next prime is 189857126027. The reversal of 189857126025 is 520621758981.

189857126025 is a `hidden beast` number, since 1 + 8 + 9 + 8 + 571 + 2 + 60 + 2 + 5 = 666.

189857126025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2132500041 + 187724625984 = 46179^2 + 433272^2 .

It is not a de Polignac number, because 189857126025 - 2⁴ = 189857126009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (189857126027) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 59015217 + ... + 59018433.

It is an arithmetic number, because the mean of its divisors is an integer number (1884977289).

Almost surely, 2^189857126025 is an apocalyptic number.

189857126025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

189857126025 is an abundant number, since it is smaller than the sum of its proper divisors (217297968399).

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

189857126025 is a wasteful number, since it uses less digits than its factorization.

189857126025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 189857126025 in words is "one hundred eighty-nine billion, eight hundred fifty-seven million, one hundred twenty-six thousand, twenty-five".