1079207336160 has 720 divisors, whose sum is σ = 4061157884784. Its totient is φ = 269841825792.

The previous prime is 1079207336149. The next prime is 1079207336167. The reversal of 1079207336160 is 616337029701.

1079207336160 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 20 + 7 + 3 + 3 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1079207336167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1749120172 + ... + 1749120788.

Almost surely, 2^{1079207336160} is an apocalyptic number.

1079207336160 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 1079207336160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030578942392).

1079207336160 is an abundant number, since it is smaller than the sum of its proper divisors (2981950548624).

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

1079207336160 is a wasteful number, since it uses less digits than its factorization.

1079207336160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 1079207336160 in words is "one trillion, seventy-nine billion, two hundred seven million, three hundred thirty-six thousand, one hundred sixty".