7005116238120 has 2304 divisors, whose sum is σ = 32515389204480. Its totient is φ = 1333279180800.

The previous prime is 7005116238119. The next prime is 7005116238163. The reversal of 7005116238120 is 218326115007.

7005116238120 is a `hidden beast` number, since 7 + 0 + 0 + 5 + 1 + 1 + 623 + 8 + 1 + 20 = 666.

It is a super-2 number, since 2×7005116238120² (a number of 26 digits) contains 22 as substring.

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 575 ways as a sum of consecutive naturals, for example, 11101610205 + ... + 11101610835.

It is an arithmetic number, because the mean of its divisors is an integer number (14112582120).

Almost surely, 2^{7005116238120} is an apocalyptic number.

7005116238120 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 7005116238120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16257694602240).

7005116238120 is an abundant number, since it is smaller than the sum of its proper divisors (25510272966360).

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

7005116238120 is a wasteful number, since it uses less digits than its factorization.

7005116238120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 7005116238120 in words is "seven trillion, five billion, one hundred sixteen million, two hundred thirty-eight thousand, one hundred twenty".