1006380305600 has 84 divisors (see below), whose sum is σ = 2490639239184. Its totient is φ = 400225121280.

The previous prime is 1006380305599. The next prime is 1006380305627. The reversal of 1006380305600 is 65030836001.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1541084 + ... + 2094683.

Almost surely, 2^{1006380305600} is an apocalyptic number.

1006380305600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006380305600 is an abundant number, since it is smaller than the sum of its proper divisors (1484258933584).

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

1006380305600 is a wasteful number, since it uses less digits than its factorization.

1006380305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635962 (or 3635947 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 1006380305600 in words is "one trillion, six billion, three hundred eighty million, three hundred five thousand, six hundred".