1078401705216 has 144 divisors (see below), whose sum is σ = 3131707078080. Its totient is φ = 326718914560.

The previous prime is 1078401705179. The next prime is 1078401705217. The reversal of 1078401705216 is 6125071048701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1078401705217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51125200 + ... + 51146288.

It is an arithmetic number, because the mean of its divisors is an integer number (21747965820).

Almost surely, 2^{1078401705216} is an apocalyptic number.

1078401705216 is a gapful number since it is divisible by the number (16) 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 1078401705216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565853539040).

1078401705216 is an abundant number, since it is smaller than the sum of its proper divisors (2053305372864).

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

1078401705216 is a wasteful number, since it uses less digits than its factorization.

1078401705216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27172 (or 27158 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The spelling of 1078401705216 in words is "one trillion, seventy-eight billion, four hundred one million, seven hundred five thousand, two hundred sixteen".