1079748139680 has 960 divisors, whose sum is σ = 4518017481600. Its totient is φ = 240685240320.

The previous prime is 1079748139669. The next prime is 1079748139697. The reversal of 1079748139680 is 869318479701.

1079748139680 is a `hidden beast` number, since 1 + 0 + 7 + 97 + 4 + 81 + 396 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 425263851 + ... + 425266389.

It is an arithmetic number, because the mean of its divisors is an integer number (4706268210).

Almost surely, 2^{1079748139680} is an apocalyptic number.

1079748139680 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 1079748139680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259008740800).

1079748139680 is an abundant number, since it is smaller than the sum of its proper divisors (3438269341920).

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

1079748139680 is an equidigital number, since it uses as much as digits as its factorization.

1079748139680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 1079748139680 in words is "one trillion, seventy-nine billion, seven hundred forty-eight million, one hundred thirty-nine thousand, six hundred eighty".