358985099520 has 864 divisors, whose sum is σ = 1352353242240. Its totient is φ = 87588864000.

The previous prime is 358985099513. The next prime is 358985099521. The reversal of 358985099520 is 25990589853.

358985099520 is a `hidden beast` number, since 3 + 58 + 9 + 8 + 50 + 9 + 9 + 520 = 666.

It is not an unprimeable number, because it can be changed into a prime (358985099521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1430219395 + ... + 1430219645.

It is an arithmetic number, because the mean of its divisors is an integer number (1565223660).

Almost surely, 2^358985099520 is an apocalyptic number.

358985099520 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 358985099520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676176621120).

358985099520 is an abundant number, since it is smaller than the sum of its proper divisors (993368142720).

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

358985099520 is a wasteful number, since it uses less digits than its factorization.

358985099520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 63.

The spelling of 358985099520 in words is "three hundred fifty-eight billion, nine hundred eighty-five million, ninety-nine thousand, five hundred twenty".