195505049376 has 576 divisors, whose sum is σ = 709449302016. Its totient is φ = 49679308800.

The previous prime is 195505049371. The next prime is 195505049387. The reversal of 195505049376 is 673940505591.

195505049376 is a `hidden beast` number, since 1 + 9 + 550 + 50 + 4 + 9 + 37 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (195505049371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 268919925 + ... + 268920651.

It is an arithmetic number, because the mean of its divisors is an integer number (1231682816).

Almost surely, 2^195505049376 is an apocalyptic number.

195505049376 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 195505049376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354724651008).

195505049376 is an abundant number, since it is smaller than the sum of its proper divisors (513944252640).

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

195505049376 is a wasteful number, since it uses less digits than its factorization.

195505049376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 195505049376 in words is "one hundred ninety-five billion, five hundred five million, forty-nine thousand, three hundred seventy-six".