359531272672 has 288 divisors, whose sum is σ = 885594608640. Its totient is φ = 142430745600.

The previous prime is 359531272663. The next prime is 359531272693. The reversal of 359531272672 is 276272135953.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91458547 + ... + 91462477.

It is an arithmetic number, because the mean of its divisors is an integer number (3074981280).

Almost surely, 2^359531272672 is an apocalyptic number.

359531272672 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 359531272672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442797304320).

359531272672 is an abundant number, since it is smaller than the sum of its proper divisors (526063335968).

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

359531272672 is a wasteful number, since it uses less digits than its factorization.

359531272672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 4059 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 52.

The spelling of 359531272672 in words is "three hundred fifty-nine billion, five hundred thirty-one million, two hundred seventy-two thousand, six hundred seventy-two".