355375106000 has 160 divisors (see below), whose sum is σ = 941220427680. Its totient is φ = 129174528000.

The previous prime is 355375105997. The next prime is 355375106057. The reversal of 355375106000 is 601573553.

It can be written as a sum of positive squares in 16 ways, for example, as 123887104576 + 231488001424 = 351976^2 + 481132^2 .

It is a super-2 number, since 2×355375106000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 805790 + ... + 1166210.

It is an arithmetic number, because the mean of its divisors is an integer number (5882627673).

Almost surely, 2^355375106000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355375106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470610213840).

355375106000 is an abundant number, since it is smaller than the sum of its proper divisors (585845321680).

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

355375106000 is a wasteful number, since it uses less digits than its factorization.

355375106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360490 (or 360474 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 35.

Adding to 355375106000 its reverse (601573553), we get a palindrome (355976679553).

The spelling of 355375106000 in words is "three hundred fifty-five billion, three hundred seventy-five million, one hundred six thousand".