8052672595968 has 3456 divisors, whose sum is σ = 35084167372800. Its totient is φ = 1770091315200.

The previous prime is 8052672595931. The next prime is 8052672595969. The reversal of 8052672595968 is 8695952762508.

8052672595968 is a `hidden beast` number, since 8 + 0 + 5 + 2 + 6 + 7 + 25 + 9 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8052672595896 and 8052672595905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8052672595969) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 259763632113 + ... + 259763632143.

It is an arithmetic number, because the mean of its divisors is an integer number (10151668800).

Almost surely, 2^{8052672595968} is an apocalyptic number.

8052672595968 is a gapful number since it is divisible by the number (88) 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 8052672595968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17542083686400).

8052672595968 is an abundant number, since it is smaller than the sum of its proper divisors (27031494776832).

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

8052672595968 is a wasteful number, since it uses less digits than its factorization.

8052672595968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 72.

The spelling of 8052672595968 in words is "eight trillion, fifty-two billion, six hundred seventy-two million, five hundred ninety-five thousand, nine hundred sixty-eight".