1079086127760 has 200 divisors, whose sum is σ = 3752119208376. Its totient is φ = 287426672640.

The previous prime is 1079086127731. The next prime is 1079086127831. The reversal of 1079086127760 is 677216809701.

1079086127760 is a `hidden beast` number, since 10 + 7 + 9 + 0 + 8 + 612 + 7 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 218889236736 + 860196891024 = 467856^2 + 927468^2 .

It is a super-2 number, since 2×1079086127760² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1079086127697 and 1079086127706.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5588020 + ... + 5777900.

Almost surely, 2^{1079086127760} is an apocalyptic number.

1079086127760 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 1079086127760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876059604188).

1079086127760 is an abundant number, since it is smaller than the sum of its proper divisors (2673033080616).

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

1079086127760 is a wasteful number, since it uses less digits than its factorization.

1079086127760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190783 (or 190768 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 1079086127760 in words is "one trillion, seventy-nine billion, eighty-six million, one hundred twenty-seven thousand, seven hundred sixty".