381568530600 has 480 divisors, whose sum is σ = 1347191155200. Its totient is φ = 100077120000.

The previous prime is 381568530571. The next prime is 381568530601. The reversal of 381568530600 is 6035865183.

381568530600 is a `hidden beast` number, since 3 + 8 + 1 + 5 + 6 + 8 + 5 + 30 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (381568530601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 508080225 + ... + 508080975.

It is an arithmetic number, because the mean of its divisors is an integer number (2806648240).

Almost surely, 2^381568530600 is an apocalyptic number.

381568530600 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 381568530600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673595577600).

381568530600 is an abundant number, since it is smaller than the sum of its proper divisors (965622624600).

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

381568530600 is a wasteful number, since it uses less digits than its factorization.

381568530600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 381568530600 in words is "three hundred eighty-one billion, five hundred sixty-eight million, five hundred thirty thousand, six hundred".