355135320000 has 280 divisors, whose sum is σ = 1304626448400. Its totient is φ = 94702464000.

The previous prime is 355135319977. The next prime is 355135320017. The reversal of 355135320000 is 23531553.

It is a super-2 number, since 2×355135320000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 915586 + ... + 1244414.

Almost surely, 2^355135320000 is an apocalyptic number.

355135320000 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 355135320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652313224200).

355135320000 is an abundant number, since it is smaller than the sum of its proper divisors (949491128400).

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

355135320000 is an equidigital number, since it uses as much as digits as its factorization.

355135320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328870 (or 328839 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

Adding to 355135320000 its reverse (23531553), we get a palindrome (355158851553).

The spelling of 355135320000 in words is "three hundred fifty-five billion, one hundred thirty-five million, three hundred twenty thousand".