195977134080 has 1440 divisors, whose sum is σ = 879367716864. Its totient is φ = 39239811072.

The previous prime is 195977134049. The next prime is 195977134097. The reversal of 195977134080 is 80431779591.

It is a happy number.

195977134080 is a `hidden beast` number, since 1 + 9 + 597 + 7 + 1 + 3 + 40 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1543126977 + ... + 1543127103.

Almost surely, 2^195977134080 is an apocalyptic number.

195977134080 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 195977134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439683858432).

195977134080 is an abundant number, since it is smaller than the sum of its proper divisors (683390582784).

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

195977134080 is a wasteful number, since it uses less digits than its factorization.

195977134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 195977134080 in words is "one hundred ninety-five billion, nine hundred seventy-seven million, one hundred thirty-four thousand, eighty".