382559271072 has 96 divisors (see below), whose sum is σ = 1096762451904. Its totient is φ = 115794585600.

The previous prime is 382559271071. The next prime is 382559271079. The reversal of 382559271072 is 270172955283.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (382559271071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 719572 + ... + 1132652.

It is an arithmetic number, because the mean of its divisors is an integer number (11424608874).

Almost surely, 2^382559271072 is an apocalyptic number.

382559271072 is a gapful number since it is divisible by the number (32) 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 382559271072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548381225952).

382559271072 is an abundant number, since it is smaller than the sum of its proper divisors (714203180832).

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

382559271072 is a wasteful number, since it uses less digits than its factorization.

382559271072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413982 (or 413974 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 382559271072 in words is "three hundred eighty-two billion, five hundred fifty-nine million, two hundred seventy-one thousand, seventy-two".