381777105600 has 2016 divisors, whose sum is σ = 1671530515200. Its totient is φ = 84669235200.

The previous prime is 381777105581. The next prime is 381777105601. The reversal of 381777105600 is 6501777183.

381777105600 is a `hidden beast` number, since 3 + 8 + 1 + 7 + 77 + 10 + 560 + 0 = 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 (381777105601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4289630356 + ... + 4289630444.

It is an arithmetic number, because the mean of its divisors is an integer number (829132200).

Almost surely, 2^381777105600 is an apocalyptic number.

381777105600 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 381777105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835765257600).

381777105600 is an abundant number, since it is smaller than the sum of its proper divisors (1289753409600).

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

381777105600 is a wasteful number, since it uses less digits than its factorization.

381777105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 381777105600 in words is "three hundred eighty-one billion, seven hundred seventy-seven million, one hundred five thousand, six hundred".