358261797120 has 288 divisors, whose sum is σ = 1218545741952. Its totient is φ = 89394118656.

The previous prime is 358261797109. The next prime is 358261797169. The reversal of 358261797120 is 21797162853.

It is a super-3 number, since 3×358261797120³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11277579 + ... + 11309301.

It is an arithmetic number, because the mean of its divisors is an integer number (4231061604).

Almost surely, 2^358261797120 is an apocalyptic number.

358261797120 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 358261797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609272870976).

358261797120 is an abundant number, since it is smaller than the sum of its proper divisors (860283944832).

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

358261797120 is a wasteful number, since it uses less digits than its factorization.

358261797120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31937 (or 31923 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 358261797120 in words is "three hundred fifty-eight billion, two hundred sixty-one million, seven hundred ninety-seven thousand, one hundred twenty".