9956382540 has 384 divisors, whose sum is σ = 32278321152. Its totient is φ = 2275983360.

The previous prime is 9956382529. The next prime is 9956382547. The reversal of 9956382540 is 452836599.

It is not an unprimeable number, because it can be changed into a prime (9956382547) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88109524 + ... + 88109636.

It is an arithmetic number, because the mean of its divisors is an integer number (84058128).

Almost surely, 2^9956382540 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 9956382540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16139160576).

9956382540 is an abundant number, since it is smaller than the sum of its proper divisors (22321938612).

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

9956382540 is a wasteful number, since it uses less digits than its factorization.

9956382540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The square root of 9956382540 is about 99781.6743695955. The cubic root of 9956382540 is about 2151.2977591391.

The spelling of 9956382540 in words is "nine billion, nine hundred fifty-six million, three hundred eighty-two thousand, five hundred forty".