195856901856 has 768 divisors, whose sum is σ = 767331532800. Its totient is φ = 47079014400.

The previous prime is 195856901827. The next prime is 195856901869. The reversal of 195856901856 is 658109658591.

195856901856 is a `hidden beast` number, since 1 + 9 + 5 + 8 + 569 + 0 + 18 + 56 = 666.

195856901856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 195856901793 and 195856901802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47432400 + ... + 47436528.

It is an arithmetic number, because the mean of its divisors is an integer number (999129600).

Almost surely, 2^195856901856 is an apocalyptic number.

195856901856 is a gapful number since it is divisible by the number (16) 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 195856901856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383665766400).

195856901856 is an abundant number, since it is smaller than the sum of its proper divisors (571474630944).

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

195856901856 is a wasteful number, since it uses less digits than its factorization.

195856901856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 63.

The spelling of 195856901856 in words is "one hundred ninety-five billion, eight hundred fifty-six million, nine hundred one thousand, eight hundred fifty-six".