9850246560 has 864 divisors, whose sum is σ = 43937292672. Its totient is φ = 1991485440.

The previous prime is 9850246541. The next prime is 9850246579. The reversal of 9850246560 is 656420589.

9850246560 is a `hidden beast` number, since 9 + 85 + 0 + 2 + 4 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (9850246541) and next prime (9850246579).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 266222862 + ... + 266222898.

It is an arithmetic number, because the mean of its divisors is an integer number (50853348).

Almost surely, 2^9850246560 is an apocalyptic number.

9850246560 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 9850246560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21968646336).

9850246560 is an abundant number, since it is smaller than the sum of its proper divisors (34087046112).

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

9850246560 is a wasteful number, since it uses less digits than its factorization.

9850246560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 9850246560 is about 99248.4083499579. The cubic root of 9850246560 is about 2143.6260880759.

The spelling of 9850246560 in words is "nine billion, eight hundred fifty million, two hundred forty-six thousand, five hundred sixty".