358120905854976 has 1040 divisors, whose sum is σ = 1247736881559168. Its totient is φ = 101144435097600.

The previous prime is 358120905854903. The next prime is 358120905854977. The reversal of 358120905854976 is 679458509021853.

358120905854976 is a `hidden beast` number, since 3 + 5 + 8 + 1 + 2 + 0 + 9 + 0 + 5 + 8 + 549 + 76 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (358120905854977) 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 79 ways as a sum of consecutive naturals, for example, 6390309516 + ... + 6390365556.

It is a 1-persistent number, because it is pandigital, but 2⋅358120905854976 = 716241811709952 is not.

Almost surely, 2^{358120905854976} is an apocalyptic number.

358120905854976 is a gapful number since it is divisible by the number (36) 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 358120905854976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623868440779584).

358120905854976 is an abundant number, since it is smaller than the sum of its proper divisors (889615975704192).

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

358120905854976 is a wasteful number, since it uses less digits than its factorization.

358120905854976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56208 (or 56177 counting only the distinct ones).

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

The spelling of 358120905854976 in words is "three hundred fifty-eight trillion, one hundred twenty billion, nine hundred five million, eight hundred fifty-four thousand, nine hundred seventy-six".