195391686672 has 640 divisors, whose sum is σ = 717554073600. Its totient is φ = 49513089024.

The previous prime is 195391686653. The next prime is 195391686673. The reversal of 195391686672 is 276686193591.

195391686672 is a `hidden beast` number, since 1 + 9 + 539 + 16 + 86 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×195391686672² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (195391686673) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 418397383 + ... + 418397849.

It is an arithmetic number, because the mean of its divisors is an integer number (1121178240).

Almost surely, 2^195391686672 is an apocalyptic number.

195391686672 is a gapful number since it is divisible by the number (12) 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 195391686672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358777036800).

195391686672 is an abundant number, since it is smaller than the sum of its proper divisors (522162386928).

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

195391686672 is a wasteful number, since it uses less digits than its factorization.

195391686672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 888 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 195391686672 in words is "one hundred ninety-five billion, three hundred ninety-one million, six hundred eighty-six thousand, six hundred seventy-two".