7985191210416 has 200 divisors, whose sum is σ = 26975079436800. Its totient is φ = 2232940887936.

The previous prime is 7985191210361. The next prime is 7985191210441. The reversal of 7985191210416 is 6140121915897.

7985191210416 is a `hidden beast` number, since 7 + 9 + 8 + 5 + 1 + 9 + 1 + 210 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8937466 + ... + 9790233.

It is an arithmetic number, because the mean of its divisors is an integer number (134875397184).

Almost surely, 2^{7985191210416} is an apocalyptic number.

It is an amenable number.

7985191210416 is an abundant number, since it is smaller than the sum of its proper divisors (18989888226384).

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

7985191210416 is a wasteful number, since it uses less digits than its factorization.

7985191210416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18727773 (or 18727758 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 7985191210416 in words is "seven trillion, nine hundred eighty-five billion, one hundred ninety-one million, two hundred ten thousand, four hundred sixteen".