1079357685760 has 240 divisors, whose sum is σ = 2633573440512. Its totient is φ = 424607744000.

The previous prime is 1079357685677. The next prime is 1079357685781. The reversal of 1079357685760 is 675867539701.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 1079357685692 and 1079357685701.

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, 1580318379 + ... + 1580319061.

Almost surely, 2^{1079357685760} is an apocalyptic number.

1079357685760 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 1079357685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316786720256).

1079357685760 is an abundant number, since it is smaller than the sum of its proper divisors (1554215754752).

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

1079357685760 is an equidigital number, since it uses as much as digits as its factorization.

1079357685760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 64.

The spelling of 1079357685760 in words is "one trillion, seventy-nine billion, three hundred fifty-seven million, six hundred eighty-five thousand, seven hundred sixty".