395616243091680 has 960 divisors, whose sum is σ = 1554213830400000. Its totient is φ = 94112646819840.

The previous prime is 395616243091673. The next prime is 395616243091789. The reversal of 395616243091680 is 86190342616593.

395616243091680 is a `hidden beast` number, since 3 + 9 + 5 + 6 + 162 + 4 + 309 + 168 + 0 = 666.

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, 3859657071 + ... + 3859759569.

It is an arithmetic number, because the mean of its divisors is an integer number (1618972740000).

Almost surely, 2^{395616243091680} is an apocalyptic number.

395616243091680 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 395616243091680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777106915200000).

395616243091680 is an abundant number, since it is smaller than the sum of its proper divisors (1158597587308320).

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

395616243091680 is a wasteful number, since it uses less digits than its factorization.

395616243091680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103309 (or 103292 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 395616243091680 in words is "three hundred ninety-five trillion, six hundred sixteen billion, two hundred forty-three million, ninety-one thousand, six hundred eighty".