7005051127872 has 504 divisors, whose sum is σ = 23924804039552. Its totient is φ = 1919490048000.

The previous prime is 7005051127849. The next prime is 7005051127909. The reversal of 7005051127872 is 2787211505007.

7005051127872 is a `hidden beast` number, since 7 + 0 + 0 + 50 + 511 + 2 + 7 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 512020872 + ... + 512034552.

Almost surely, 2^{7005051127872} is an apocalyptic number.

7005051127872 is a gapful number since it is divisible by the number (72) 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 7005051127872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11962402019776).

7005051127872 is an abundant number, since it is smaller than the sum of its proper divisors (16919752911680).

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

7005051127872 is a wasteful number, since it uses less digits than its factorization.

7005051127872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13915 (or 13873 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 45.

The spelling of 7005051127872 in words is "seven trillion, five billion, fifty-one million, one hundred twenty-seven thousand, eight hundred seventy-two".