355242135600 has 360 divisors, whose sum is σ = 1381213886832. Its totient is φ = 83791411200.

The previous prime is 355242135551. The next prime is 355242135601. The reversal of 355242135600 is 6531242553.

355242135600 is a `hidden beast` number, since 3 + 5 + 5 + 2 + 42 + 1 + 3 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (355242135601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1343974 + ... + 1586426.

Almost surely, 2^355242135600 is an apocalyptic number.

355242135600 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 355242135600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690606943416).

355242135600 is an abundant number, since it is smaller than the sum of its proper divisors (1025971751232).

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

355242135600 is a wasteful number, since it uses less digits than its factorization.

355242135600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242525 (or 242511 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 355242135600 in words is "three hundred fifty-five billion, two hundred forty-two million, one hundred thirty-five thousand, six hundred".