395045050926960 has 800 divisors, whose sum is σ = 1607587807795200. Its totient is φ = 88023177031680.

The previous prime is 395045050926899. The next prime is 395045050926983. The reversal of 395045050926960 is 69629050540593.

395045050926960 is a `hidden beast` number, since 3 + 9 + 5 + 0 + 4 + 5 + 0 + 509 + 2 + 69 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2341353481 + ... + 2341522199.

It is an arithmetic number, because the mean of its divisors is an integer number (2009484759744).

Almost surely, 2^{395045050926960} is an apocalyptic number.

395045050926960 is a gapful number since it is divisible by the number (30) 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 395045050926960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803793903897600).

395045050926960 is an abundant number, since it is smaller than the sum of its proper divisors (1212542756868240).

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

395045050926960 is a wasteful number, since it uses less digits than its factorization.

395045050926960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170051 (or 170036 counting only the distinct ones).

The product of its (nonzero) digits is 78732000, while the sum is 63.

The spelling of 395045050926960 in words is "three hundred ninety-five trillion, forty-five billion, fifty million, nine hundred twenty-six thousand, nine hundred sixty".