355056420600 has 1440 divisors, whose sum is σ = 1542027397680. Its totient is φ = 75223572480.

The previous prime is 355056420539. The next prime is 355056420601. The reversal of 355056420600 is 6024650553.

It is a happy number.

355056420600 is a `hidden beast` number, since 3 + 5 + 5 + 0 + 5 + 6 + 42 + 0 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355056420601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1120051642 + ... + 1120051958.

Almost surely, 2^355056420600 is an apocalyptic number.

355056420600 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 355056420600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771013698840).

355056420600 is an abundant number, since it is smaller than the sum of its proper divisors (1186970977080).

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

355056420600 is a wasteful number, since it uses less digits than its factorization.

355056420600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 434 counting only the distinct ones).

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

The spelling of 355056420600 in words is "three hundred fifty-five billion, fifty-six million, four hundred twenty thousand, six hundred".