359872282090000 has 225 divisors, whose sum is σ = 925636728772657. Its totient is φ = 135469188736000.

The previous prime is 359872282089961. The next prime is 359872282090007. The reversal of 359872282090000 is 90282278953.

The square root of 359872282090000 is 18970300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 175745185499664 + 184127096590336 = 13256892^2 + 13569344^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (359872282090007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 32249504421 + ... + 32249515579.

Almost surely, 2^{359872282090000} is an apocalyptic number.

359872282090000 is the 18970300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359872282090000

359872282090000 is an abundant number, since it is smaller than the sum of its proper divisors (565764446682657).

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

359872282090000 is an frugal number, since it uses more digits than its factorization.

359872282090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22380 (or 11183 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 359872282090000 in words is "three hundred fifty-nine trillion, eight hundred seventy-two billion, two hundred eighty-two million, ninety thousand".