358857096145920 has 2112 divisors, whose sum is σ = 1405568297742336. Its totient is φ = 87434282926080.

The previous prime is 358857096145907. The next prime is 358857096145939. The reversal of 358857096145920 is 29541690758853.

358857096145920 is a `hidden beast` number, since 3 + 5 + 8 + 8 + 570 + 9 + 6 + 1 + 45 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 196849750129 + ... + 196849751951.

It is a 1-persistent number, because it is pandigital, but 2⋅358857096145920 = 717714192291840 is not.

Almost surely, 2^{358857096145920} is an apocalyptic number.

358857096145920 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 358857096145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702784148871168).

358857096145920 is an abundant number, since it is smaller than the sum of its proper divisors (1046711201596416).

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

358857096145920 is a wasteful number, since it uses less digits than its factorization.

358857096145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 72.

The spelling of 358857096145920 in words is "three hundred fifty-eight trillion, eight hundred fifty-seven billion, ninety-six million, one hundred forty-five thousand, nine hundred twenty".