350542152000 has 336 divisors, whose sum is σ = 1255143533904. Its totient is φ = 93388800000.

The previous prime is 350542151989. The next prime is 350542152001. The reversal of 350542152000 is 251245053.

It is a happy number.

350542152000 is a `hidden beast` number, since 3 + 505 + 4 + 2 + 152 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2366627904 + 348175524096 = 48648^2 + 590064^2 .

It is a super-2 number, since 2×350542152000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350542152001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115270480 + ... + 115273520.

Almost surely, 2^350542152000 is an apocalyptic number.

350542152000 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 350542152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627571766952).

350542152000 is an abundant number, since it is smaller than the sum of its proper divisors (904601381904).

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

350542152000 is a wasteful number, since it uses less digits than its factorization.

350542152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4675 (or 4652 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 350542152000 its reverse (251245053), we get a palindrome (350793397053).

The spelling of 350542152000 in words is "three hundred fifty billion, five hundred forty-two million, one hundred fifty-two thousand".