1080707080320 has 1152 divisors, whose sum is σ = 4574594344320. Its totient is φ = 238819000320.

The previous prime is 1080707080319. The next prime is 1080707080367. The reversal of 1080707080320 is 230807070801.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1046182524 + ... + 1046183556.

It is an arithmetic number, because the mean of its divisors is an integer number (3971002035).

Almost surely, 2^{1080707080320} is an apocalyptic number.

1080707080320 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 1080707080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287297172160).

1080707080320 is an abundant number, since it is smaller than the sum of its proper divisors (3493887264000).

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

1080707080320 is an equidigital number, since it uses as much as digits as its factorization.

1080707080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 1080707080320 in words is "one trillion, eighty billion, seven hundred seven million, eighty thousand, three hundred twenty".