1026794780800 has 96 divisors (see below), whose sum is σ = 2536863272100. Its totient is φ = 410659737600.

The previous prime is 1026794780783. The next prime is 1026794780839. The reversal of 1026794780800 is 80874976201.

1026794780800 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 6 ways, for example, as 190535742016 + 836259038784 = 436504^2 + 914472^2 .

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27952846 + ... + 27989554.

Almost surely, 2^{1026794780800} is an apocalyptic number.

1026794780800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1026794780800 is an abundant number, since it is smaller than the sum of its proper divisors (1510068491300).

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

1026794780800 is an equidigital number, since it uses as much as digits as its factorization.

1026794780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45474 (or 45457 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 52.

The spelling of 1026794780800 in words is "one trillion, twenty-six billion, seven hundred ninety-four million, seven hundred eighty thousand, eight hundred".