195461925120 has 1152 divisors, whose sum is σ = 883008000000. Its totient is φ = 40588369920.

The previous prime is 195461925097. The next prime is 195461925143. The reversal of 195461925120 is 21529164591.

195461925120 is a `hidden beast` number, since 1 + 9 + 5 + 4 + 619 + 2 + 5 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (195461925097) and next prime (195461925143).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130394131 + ... + 130395629.

It is an arithmetic number, because the mean of its divisors is an integer number (766500000).

Almost surely, 2^195461925120 is an apocalyptic number.

195461925120 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 195461925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441504000000).

195461925120 is an abundant number, since it is smaller than the sum of its proper divisors (687546074880).

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

195461925120 is a wasteful number, since it uses less digits than its factorization.

195461925120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 195461925120 in words is "one hundred ninety-five billion, four hundred sixty-one million, nine hundred twenty-five thousand, one hundred twenty".