395912784960 has 2016 divisors, whose sum is σ = 1842915409920. Its totient is φ = 78606028800.

The previous prime is 395912784941. The next prime is 395912784973. The reversal of 395912784960 is 69487219593.

395912784960 is a `hidden beast` number, since 39 + 5 + 91 + 27 + 8 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5011554201 + ... + 5011554279.

It is a 1-persistent number, because it is pandigital, but 2⋅395912784960 = 791825569920 is not.

Almost surely, 2^395912784960 is an apocalyptic number.

395912784960 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 395912784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921457704960).

395912784960 is an abundant number, since it is smaller than the sum of its proper divisors (1447002624960).

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

395912784960 is an equidigital number, since it uses as much as digits as its factorization.

395912784960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 395912784960 in words is "three hundred ninety-five billion, nine hundred twelve million, seven hundred eighty-four thousand, nine hundred sixty".