9852988163040 has 1536 divisors, whose sum is σ = 39508470005760. Its totient is φ = 2290768128000.

The previous prime is 9852988163027. The next prime is 9852988163069. The reversal of 9852988163040 is 403618892589.

9852988163040 is a `hidden beast` number, since 9 + 8 + 529 + 8 + 8 + 1 + 63 + 0 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 29767335675 + ... + 29767336005.

It is an arithmetic number, because the mean of its divisors is an integer number (25721660160).

Almost surely, 2^{9852988163040} is an apocalyptic number.

9852988163040 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 9852988163040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19754235002880).

9852988163040 is an abundant number, since it is smaller than the sum of its proper divisors (29655481842720).

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

9852988163040 is a wasteful number, since it uses less digits than its factorization.

9852988163040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 9852988163040 in words is "nine trillion, eight hundred fifty-two billion, nine hundred eighty-eight million, one hundred sixty-three thousand, forty".