395545006080 has 1040 divisors, whose sum is σ = 1692088130304. Its totient is φ = 86421012480.

The previous prime is 395545006063. The next prime is 395545006163. The reversal of 395545006080 is 80600545593.

395545006080 is a `hidden beast` number, since 3 + 9 + 5 + 5 + 4 + 500 + 60 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 267078940 + ... + 267080420.

Almost surely, 2^395545006080 is an apocalyptic number.

395545006080 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 395545006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846044065152).

395545006080 is an abundant number, since it is smaller than the sum of its proper divisors (1296543124224).

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

395545006080 is a wasteful number, since it uses less digits than its factorization.

395545006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 395545006080 in words is "three hundred ninety-five billion, five hundred forty-five million, six thousand, eighty".