359977822002 has 126 divisors (see below), whose sum is σ = 855466235343. Its totient is φ = 113539749624.

The previous prime is 359977821913. The next prime is 359977822027. The reversal of 359977822002 is 200228779953.

359977822002 is a `hidden beast` number, since 359 + 9 + 7 + 7 + 82 + 200 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 179988911001 + 179988911001 = 424251^2 + 424251^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=424251.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 359977822002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 435281113 + ... + 435281939.

Almost surely, 2^359977822002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359977822002

359977822002 is an abundant number, since it is smaller than the sum of its proper divisors (495488413341).

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

359977822002 is an frugal number, since it uses more digits than its factorization.

359977822002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 359977822002 in words is "three hundred fifty-nine billion, nine hundred seventy-seven million, eight hundred twenty-two thousand, two".