195400379920 has 40 divisors (see below), whose sum is σ = 456255737496. Its totient is φ = 77824693248.

The previous prime is 195400379849. The next prime is 195400379959. The reversal of 195400379920 is 29973004591.

195400379920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 50523664 + 195349856256 = 7108^2 + 441984^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5222787 + ... + 5260066.

Almost surely, 2^195400379920 is an apocalyptic number.

195400379920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

195400379920 is an abundant number, since it is smaller than the sum of its proper divisors (260855357576).

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

195400379920 is a wasteful number, since it uses less digits than its factorization.

195400379920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10483099 (or 10483093 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 49.

The spelling of 195400379920 in words is "one hundred ninety-five billion, four hundred million, three hundred seventy-nine thousand, nine hundred twenty".