395865153040896 has 2880 divisors, whose sum is σ = 1599490621048320. Its totient is φ = 96376097341440.

The previous prime is 395865153040873. The next prime is 395865153040919. The reversal of 395865153040896 is 698040351568593.

395865153040896 is a `hidden beast` number, since 3 + 9 + 5 + 8 + 6 + 5 + 1 + 530 + 4 + 0 + 89 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (395865153040873) and next prime (395865153040919).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 123591991231 + ... + 123591994433.

It is an arithmetic number, because the mean of its divisors is an integer number (555378687864).

Almost surely, 2^{395865153040896} is an apocalyptic number.

395865153040896 is a gapful number since it is divisible by the number (36) 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 395865153040896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799745310524160).

395865153040896 is an abundant number, since it is smaller than the sum of its proper divisors (1203625468007424).

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

395865153040896 is a wasteful number, since it uses less digits than its factorization.

395865153040896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3377 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 839808000, while the sum is 72.

The spelling of 395865153040896 in words is "three hundred ninety-five trillion, eight hundred sixty-five billion, one hundred fifty-three million, forty thousand, eight hundred ninety-six".