7081285317120 has 1680 divisors, whose sum is σ = 29833594420608. Its totient is φ = 1606519111680.

The previous prime is 7081285317109. The next prime is 7081285317121. The reversal of 7081285317120 is 217135821807.

7081285317120 is a `hidden beast` number, since 7 + 0 + 8 + 1 + 28 + 531 + 71 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is not an unprimeable number, because it can be changed into a prime (7081285317121) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 19295055177 + ... + 19295055543.

Almost surely, 2^{7081285317120} is an apocalyptic number.

7081285317120 is a gapful number since it is divisible by the number (70) 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 7081285317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14916797210304).

7081285317120 is an abundant number, since it is smaller than the sum of its proper divisors (22752309103488).

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

7081285317120 is an equidigital number, since it uses as much as digits as its factorization.

7081285317120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 7081285317120 in words is "seven trillion, eighty-one billion, two hundred eighty-five million, three hundred seventeen thousand, one hundred twenty".