1985575468968 has 1152 divisors, whose sum is σ = 7346561644800. Its totient is φ = 486134618112.

The previous prime is 1985575468963. The next prime is 1985575469047. The reversal of 1985575468968 is 8698645755891.

1985575468968 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 5 + 7 + 546 + 8 + 9 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (1985575468963) 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, 5001449346 + ... + 5001449742.

It is an arithmetic number, because the mean of its divisors is an integer number (6377223650).

Almost surely, 2^{1985575468968} is an apocalyptic number.

1985575468968 is a gapful number since it is divisible by the number (18) 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 1985575468968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673280822400).

1985575468968 is an abundant number, since it is smaller than the sum of its proper divisors (5360986175832).

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

1985575468968 is a wasteful number, since it uses less digits than its factorization.

1985575468968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 482 counting only the distinct ones).

The product of its digits is 5225472000, while the sum is 81.

The spelling of 1985575468968 in words is "one trillion, nine hundred eighty-five billion, five hundred seventy-five million, four hundred sixty-eight thousand, nine hundred sixty-eight".