1078258120320 has 1024 divisors, whose sum is σ = 3831100416000. Its totient is φ = 257102512128.

The previous prime is 1078258120271. The next prime is 1078258120333. The reversal of 1078258120320 is 230218528701.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7236631606 + ... + 7236631754.

It is an arithmetic number, because the mean of its divisors is an integer number (3741309000).

Almost surely, 2^{1078258120320} is an apocalyptic number.

1078258120320 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 1078258120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915550208000).

1078258120320 is an abundant number, since it is smaller than the sum of its proper divisors (2752842295680).

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

1078258120320 is a wasteful number, since it uses less digits than its factorization.

1078258120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 1078258120320 in words is "one trillion, seventy-eight billion, two hundred fifty-eight million, one hundred twenty thousand, three hundred twenty".