358599036960 has 288 divisors, whose sum is σ = 1233592279920. Its totient is φ = 94857928704.

The previous prime is 358599036947. The next prime is 358599037031. The reversal of 358599036960 is 69630995853.

358599036960 is a `hidden beast` number, since 3 + 5 + 8 + 599 + 0 + 36 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 343531965456 + 15067071504 = 586116^2 + 122748^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105810946 + ... + 105814334.

Almost surely, 2^358599036960 is an apocalyptic number.

358599036960 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 358599036960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616796139960).

358599036960 is an abundant number, since it is smaller than the sum of its proper divisors (874993242960).

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

358599036960 is a wasteful number, since it uses less digits than its factorization.

358599036960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 47239200, while the sum is 63.

The spelling of 358599036960 in words is "three hundred fifty-eight billion, five hundred ninety-nine million, thirty-six thousand, nine hundred sixty".