9853147034640 has 1440 divisors, whose sum is σ = 41936989610880. Its totient is φ = 2054838288384.

The previous prime is 9853147034639. The next prime is 9853147034663. The reversal of 9853147034640 is 464307413589.

9853147034640 is a `hidden beast` number, since 9 + 8 + 531 + 4 + 70 + 34 + 6 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21098815687 + ... + 21098816153.

It is an arithmetic number, because the mean of its divisors is an integer number (29122909452).

Almost surely, 2^{9853147034640} is an apocalyptic number.

9853147034640 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 9853147034640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20968494805440).

9853147034640 is an abundant number, since it is smaller than the sum of its proper divisors (32083842576240).

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

9853147034640 is a wasteful number, since it uses less digits than its factorization.

9853147034640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 9853147034640 in words is "nine trillion, eight hundred fifty-three billion, one hundred forty-seven million, thirty-four thousand, six hundred forty".