7985960968557 has 192 divisors, whose sum is σ = 13405573988352. Its totient is φ = 4168845676800.

The previous prime is 7985960968549. The next prime is 7985960968607. The reversal of 7985960968557 is 7558690695897.

It is not a de Polignac number, because 7985960968557 - 2³ = 7985960968549 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7985960968557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7985960968157) 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, 10748264728 + ... + 10748265470.

It is an arithmetic number, because the mean of its divisors is an integer number (69820697856).

Almost surely, 2^{7985960968557} is an apocalyptic number.

It is an amenable number.

7985960968557 is a deficient number, since it is larger than the sum of its proper divisors (5419613019795).

7985960968557 is a wasteful number, since it uses less digits than its factorization.

7985960968557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 10287648000, while the sum is 84.

The spelling of 7985960968557 in words is "seven trillion, nine hundred eighty-five billion, nine hundred sixty million, nine hundred sixty-eight thousand, five hundred fifty-seven".