9860943456 has 1152 divisors, whose sum is σ = 40540953600. Its totient is φ = 2299207680.

The previous prime is 9860943427. The next prime is 9860943473. The reversal of 9860943456 is 6543490689.

9860943456 is a `hidden beast` number, since 98 + 60 + 9 + 43 + 456 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 240510796 + ... + 240510836.

It is an arithmetic number, because the mean of its divisors is an integer number (35191800).

Almost surely, 2^9860943456 is an apocalyptic number.

9860943456 is a gapful number since it is divisible by the number (96) 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 9860943456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20270476800).

9860943456 is an abundant number, since it is smaller than the sum of its proper divisors (30680010144).

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

9860943456 is a wasteful number, since it uses less digits than its factorization.

9860943456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 9860943456 is about 99302.2832365903. The cubic root of 9860943456 is about 2144.4017657826.

The spelling of 9860943456 in words is "nine billion, eight hundred sixty million, nine hundred forty-three thousand, four hundred fifty-six".