7952523284160 has 2016 divisors, whose sum is σ = 35829200010240. Its totient is φ = 1573577736192.

The previous prime is 7952523284143. The next prime is 7952523284161. The reversal of 7952523284160 is 614823252597.

7952523284160 is a `hidden beast` number, since 7 + 9 + 5 + 252 + 328 + 4 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a junction number, because it is equal to n+sod(n) for n = 7952523284097 and 7952523284106.

It is not an unprimeable number, because it can be changed into a prime (7952523284161) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 20982910851 + ... + 20982911229.

It is an arithmetic number, because the mean of its divisors is an integer number (17772420640).

It is a 1-persistent number, because it is pandigital, but 2⋅7952523284160 = 15905046568320 is not.

Almost surely, 2^{7952523284160} is an apocalyptic number.

7952523284160 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 7952523284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17914600005120).

7952523284160 is an abundant number, since it is smaller than the sum of its proper divisors (27876676726080).

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

7952523284160 is a wasteful number, since it uses less digits than its factorization.

7952523284160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 491 counting only the distinct ones).

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

The spelling of 7952523284160 in words is "seven trillion, nine hundred fifty-two billion, five hundred twenty-three million, two hundred eighty-four thousand, one hundred sixty".