358980217894350 has 1152 divisors, whose sum is σ = 1202074662297600. Its totient is φ = 76245583564800.

The previous prime is 358980217894349. The next prime is 358980217894357. The reversal of 358980217894350 is 53498712089853.

358980217894350 is a `hidden beast` number, since 3 + 5 + 8 + 98 + 0 + 21 + 7 + 89 + 435 + 0 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (358980217894357) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 9899334319 + ... + 9899370581.

It is an arithmetic number, because the mean of its divisors is an integer number (1043467588800).

Almost surely, 2^{358980217894350} is an apocalyptic number.

358980217894350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 358980217894350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601037331148800).

358980217894350 is an abundant number, since it is smaller than the sum of its proper divisors (843094444403250).

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

358980217894350 is a wasteful number, since it uses less digits than its factorization.

358980217894350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36387 (or 36353 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 358980217894350 in words is "three hundred fifty-eight trillion, nine hundred eighty billion, two hundred seventeen million, eight hundred ninety-four thousand, three hundred fifty".