1079781248000 has 2112 divisors, whose sum is σ = 3852983272320. Its totient is φ = 297271296000.

The previous prime is 1079781247969. The next prime is 1079781248011. The reversal of 1079781248000 is 8421879701.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26336127980 + ... + 26336128020.

Almost surely, 2^{1079781248000} is an apocalyptic number.

1079781248000 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 1079781248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926491636160).

1079781248000 is an abundant number, since it is smaller than the sum of its proper divisors (2773202024320).

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

1079781248000 is a wasteful number, since it uses less digits than its factorization.

1079781248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 47.

The spelling of 1079781248000 in words is "one trillion, seventy-nine billion, seven hundred eighty-one million, two hundred forty-eight thousand".