9865951360 has 192 divisors, whose sum is σ = 25685621640. Its totient is φ = 3620864000.

The previous prime is 9865951357. The next prime is 9865951379. The reversal of 9865951360 is 631595689.

It can be written as a sum of positive squares in 12 ways, for example, as 14197824 + 9851753536 = 3768^2 + 99256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9865951298 and 9865951307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7582710 + ... + 7584010.

Almost surely, 2^9865951360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9865951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12842810820).

9865951360 is an abundant number, since it is smaller than the sum of its proper divisors (15819670280).

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

9865951360 is a wasteful number, since it uses less digits than its factorization.

9865951360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 52.

The square root of 9865951360 is about 99327.4954884095. The cubic root of 9865951360 is about 2144.7647175564.

The spelling of 9865951360 in words is "nine billion, eight hundred sixty-five million, nine hundred fifty-one thousand, three hundred sixty".