355882785120 has 576 divisors, whose sum is σ = 1274428995840. Its totient is φ = 90358861824.

The previous prime is 355882785101. The next prime is 355882785121. The reversal of 355882785120 is 21587288553.

355882785120 is a `hidden beast` number, since 3 + 5 + 58 + 8 + 2 + 78 + 512 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355882785121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 452201367 + ... + 452202153.

It is an arithmetic number, because the mean of its divisors is an integer number (2212550340).

Almost surely, 2^355882785120 is an apocalyptic number.

355882785120 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 355882785120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637214497920).

355882785120 is an abundant number, since it is smaller than the sum of its proper divisors (918546210720).

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

355882785120 is a wasteful number, since it uses less digits than its factorization.

355882785120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 355882785120 in words is "three hundred fifty-five billion, eight hundred eighty-two million, seven hundred eighty-five thousand, one hundred twenty".