2007895438080 has 864 divisors, whose sum is σ = 8213745321600. Its totient is φ = 452595548160.

The previous prime is 2007895438063. The next prime is 2007895438223. The reversal of 2007895438080 is 808345987002.

It is a happy number.

2007895438080 is a `hidden beast` number, since 20 + 0 + 78 + 9 + 543 + 8 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×2007895438080² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 288445800 + ... + 288452760.

Almost surely, 2^{2007895438080} is an apocalyptic number.

2007895438080 is a gapful number since it is divisible by the number (20) 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 2007895438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106872660800).

2007895438080 is an abundant number, since it is smaller than the sum of its proper divisors (6205849883520).

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

2007895438080 is an equidigital number, since it uses as much as digits as its factorization.

2007895438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7082 (or 7051 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 2007895438080 in words is "two trillion, seven billion, eight hundred ninety-five million, four hundred thirty-eight thousand, eighty".