1079968540128 has 96 divisors (see below), whose sum is σ = 3002468303520. Its totient is φ = 338724372480.

The previous prime is 1079968540103. The next prime is 1079968540159. The reversal of 1079968540128 is 8210458699701.

1079968540128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6248538 + ... + 6419046.

It is an arithmetic number, because the mean of its divisors is an integer number (31275711495).

Almost surely, 2^{1079968540128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1079968540128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501234151760).

1079968540128 is an abundant number, since it is smaller than the sum of its proper divisors (1922499763392).

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

1079968540128 is a wasteful number, since it uses less digits than its factorization.

1079968540128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174420 (or 174412 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 60.

The spelling of 1079968540128 in words is "one trillion, seventy-nine billion, nine hundred sixty-eight million, five hundred forty thousand, one hundred twenty-eight".