985247251560 has 1152 divisors, whose sum is σ = 4084076505600. Its totient is φ = 202946641920.

The previous prime is 985247251517. The next prime is 985247251567. The reversal of 985247251560 is 65152742589.

985247251560 is a `hidden beast` number, since 9 + 8 + 5 + 2 + 4 + 72 + 5 + 1 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 985247251497 and 985247251506.

It is not an unprimeable number, because it can be changed into a prime (985247251567) 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, 699252136 + ... + 699253544.

It is an arithmetic number, because the mean of its divisors is an integer number (3545205300).

Almost surely, 2^985247251560 is an apocalyptic number.

985247251560 is a gapful number since it is divisible by the number (90) 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 985247251560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042038252800).

985247251560 is an abundant number, since it is smaller than the sum of its proper divisors (3098829254040).

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

985247251560 is a wasteful number, since it uses less digits than its factorization.

985247251560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 985247251560 in words is "nine hundred eighty-five billion, two hundred forty-seven million, two hundred fifty-one thousand, five hundred sixty".