1006048860800 has 48 divisors (see below), whose sum is σ = 2485255084350. Its totient is φ = 402419543040.

The previous prime is 1006048860769. The next prime is 1006048860811. The reversal of 1006048860800 is 80688406001.

1006048860800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 767193802816 + 238855057984 = 875896^2 + 488728^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 157191935 + ... + 157198334.

Almost surely, 2^{1006048860800} is an apocalyptic number.

1006048860800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006048860800 is an abundant number, since it is smaller than the sum of its proper divisors (1479206223550).

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

1006048860800 is an equidigital number, since it uses as much as digits as its factorization.

1006048860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314390293 (or 314390276 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The spelling of 1006048860800 in words is "one trillion, six billion, forty-eight million, eight hundred sixty thousand, eight hundred".