9860216249520 has 3840 divisors, whose sum is σ = 47358568857600. Its totient is φ = 1779168706560.

The previous prime is 9860216249519. The next prime is 9860216249591. The reversal of 9860216249520 is 259426120689.

9860216249520 is a `hidden beast` number, since 9 + 8 + 6 + 0 + 2 + 1 + 624 + 9 + 5 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 43057712766 + ... + 43057712994.

It is an arithmetic number, because the mean of its divisors is an integer number (12332960640).

Almost surely, 2^{9860216249520} is an apocalyptic number.

9860216249520 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 9860216249520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23679284428800).

9860216249520 is an abundant number, since it is smaller than the sum of its proper divisors (37498352608080).

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

9860216249520 is a wasteful number, since it uses less digits than its factorization.

9860216249520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 9860216249520 in words is "nine trillion, eight hundred sixty billion, two hundred sixteen million, two hundred forty-nine thousand, five hundred twenty".