382785704121600 has 5832 divisors, whose sum is σ = 1725379755503040. Its totient is φ = 83511044997120.

The previous prime is 382785704121553. The next prime is 382785704121629. The reversal of 382785704121600 is 6121407587283.

382785704121600 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 8 + 5 + 7 + 0 + 4 + 1 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (5832).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 2292129964717 + ... + 2292129964883.

Almost surely, 2^{382785704121600} is an apocalyptic number.

382785704121600 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 382785704121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862689877751520).

382785704121600 is an abundant number, since it is smaller than the sum of its proper divisors (1342594051381440).

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

382785704121600 is a wasteful number, since it uses less digits than its factorization.

382785704121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 382785704121600 in words is "three hundred eighty-two trillion, seven hundred eighty-five billion, seven hundred four million, one hundred twenty-one thousand, six hundred".