1077323088000 has 256 divisors, whose sum is σ = 3694479984000. Its totient is φ = 277379379200.

The previous prime is 1077323087959. The next prime is 1077323088043. The reversal of 1077323088000 is 8803237701.

It is a self number, because there is not a number n which added to its sum of digits gives 1077323088000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1005031 + ... + 1778969.

Almost surely, 2^{1077323088000} is an apocalyptic number.

1077323088000 is a gapful number since it is divisible by the number (10) 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 1077323088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847239992000).

1077323088000 is an abundant number, since it is smaller than the sum of its proper divisors (2617156896000).

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

1077323088000 is an equidigital number, since it uses as much as digits as its factorization.

1077323088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774000 (or 773978 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 1077323088000 in words is "one trillion, seventy-seven billion, three hundred twenty-three million, eighty-eight thousand".