395523394560 has 528 divisors, whose sum is σ = 1569519334656. Its totient is φ = 90217414656.

The previous prime is 395523394543. The next prime is 395523394601. The reversal of 395523394560 is 65493325593.

It is a happy number.

395523394560 is a `hidden beast` number, since 3 + 9 + 55 + 23 + 3 + 9 + 4 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 395523394497 and 395523394506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207405127 + ... + 207407033.

Almost surely, 2^395523394560 is an apocalyptic number.

395523394560 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 395523394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784759667328).

395523394560 is an abundant number, since it is smaller than the sum of its proper divisors (1173995940096).

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

395523394560 is a wasteful number, since it uses less digits than its factorization.

395523394560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 13122000, while the sum is 54.

The spelling of 395523394560 in words is "three hundred ninety-five billion, five hundred twenty-three million, three hundred ninety-four thousand, five hundred sixty".