1080071308800 has 1440 divisors, whose sum is σ = 4505579061984. Its totient is φ = 244187136000.

The previous prime is 1080071308763. The next prime is 1080071308847. The reversal of 1080071308800 is 88031700801.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 3899174262 + ... + 3899174538.

Almost surely, 2^{1080071308800} is an apocalyptic number.

1080071308800 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 1080071308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252789530992).

1080071308800 is an abundant number, since it is smaller than the sum of its proper divisors (3425507753184).

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

1080071308800 is a wasteful number, since it uses less digits than its factorization.

1080071308800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 1080071308800 in words is "one trillion, eighty billion, seventy-one million, three hundred eight thousand, eight hundred".