195604934279040 has 4608 divisors, whose sum is σ = 874205789184000. Its totient is φ = 41190096568320.

The previous prime is 195604934278991. The next prime is 195604934279093. The reversal of 195604934279040 is 40972439406591.

195604934279040 is a `hidden beast` number, since 1 + 9 + 5 + 60 + 493 + 42 + 7 + 9 + 0 + 40 = 666.

It is a super-2 number, since 2×195604934279040² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 818430687241 + ... + 818430687479.

It is an arithmetic number, because the mean of its divisors is an integer number (189714798000).

Almost surely, 2^{195604934279040} is an apocalyptic number.

195604934279040 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 195604934279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437102894592000).

195604934279040 is an abundant number, since it is smaller than the sum of its proper divisors (678600854904960).

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

195604934279040 is a wasteful number, since it uses less digits than its factorization.

195604934279040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 195604934279040 in words is "one hundred ninety-five trillion, six hundred four billion, nine hundred thirty-four million, two hundred seventy-nine thousand, forty".