7165231583328 has 1152 divisors, whose sum is σ = 27658660184064. Its totient is φ = 1705594060800.

The previous prime is 7165231583327. The next prime is 7165231583347. The reversal of 7165231583328 is 8233851325617.

7165231583328 is a `hidden beast` number, since 7 + 1 + 6 + 5 + 2 + 31 + 583 + 3 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7165231583327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1560710313 + ... + 1560714903.

It is an arithmetic number, because the mean of its divisors is an integer number (24009253632).

Almost surely, 2^{7165231583328} is an apocalyptic number.

7165231583328 is a gapful number since it is divisible by the number (78) 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 7165231583328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13829330092032).

7165231583328 is an abundant number, since it is smaller than the sum of its proper divisors (20493428600736).

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

7165231583328 is a wasteful number, since it uses less digits than its factorization.

7165231583328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4788 (or 4777 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 7165231583328 in words is "seven trillion, one hundred sixty-five billion, two hundred thirty-one million, five hundred eighty-three thousand, three hundred twenty-eight".