395772827520 has 2048 divisors, whose sum is σ = 1713208320000. Its totient is φ = 77147406336.

The previous prime is 395772827507. The next prime is 395772827521. The reversal of 395772827520 is 25728277593.

It is a super-2 number, since 2×395772827520² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395772827521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7467411814 + ... + 7467411866.

It is an arithmetic number, because the mean of its divisors is an integer number (836527500).

Almost surely, 2^395772827520 is an apocalyptic number.

395772827520 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 395772827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856604160000).

395772827520 is an abundant number, since it is smaller than the sum of its proper divisors (1317435492480).

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

395772827520 is a wasteful number, since it uses less digits than its factorization.

395772827520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 57.

The spelling of 395772827520 in words is "three hundred ninety-five billion, seven hundred seventy-two million, eight hundred twenty-seven thousand, five hundred twenty".