195687088128000 has 3168 divisors, whose sum is σ = 877415706917568. Its totient is φ = 41070624768000.

The previous prime is 195687088127981. The next prime is 195687088128001. The reversal of 195687088128000 is 821880786591.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195687088128001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4772855807980 + ... + 4772855808020.

Almost surely, 2^{195687088128000} is an apocalyptic number.

195687088128000 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 195687088128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438707853458784).

195687088128000 is an abundant number, since it is smaller than the sum of its proper divisors (681728618789568).

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

195687088128000 is an frugal number, since it uses more digits than its factorization.

195687088128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 63.

The spelling of 195687088128000 in words is "one hundred ninety-five trillion, six hundred eighty-seven billion, eighty-eight million, one hundred twenty-eight thousand".