195857326080 has 1120 divisors, whose sum is σ = 799280697600. Its totient is φ = 45482508288.

The previous prime is 195857326019. The next prime is 195857326117. The reversal of 195857326080 is 80623758591.

195857326080 is a `hidden beast` number, since 1 + 9 + 5 + 8 + 573 + 2 + 60 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 819486601 + ... + 819486839.

It is an arithmetic number, because the mean of its divisors is an integer number (713643480).

Almost surely, 2^195857326080 is an apocalyptic number.

195857326080 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 195857326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399640348800).

195857326080 is an abundant number, since it is smaller than the sum of its proper divisors (603423371520).

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

195857326080 is a wasteful number, since it uses less digits than its factorization.

195857326080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 195857326080 in words is "one hundred ninety-five billion, eight hundred fifty-seven million, three hundred twenty-six thousand, eighty".