9905708540 has 288 divisors, whose sum is σ = 27271157760. Its totient is φ = 2953387008.

The previous prime is 9905708537. The next prime is 9905708543. The reversal of 9905708540 is 458075099.

It is an interprime number because it is at equal distance from previous prime (9905708537) and next prime (9905708543).

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9905708543) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59315537 + ... + 59315703.

It is an arithmetic number, because the mean of its divisors is an integer number (94691520).

Almost surely, 2^9905708540 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 9905708540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13635578880).

9905708540 is an abundant number, since it is smaller than the sum of its proper divisors (17365449220).

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

9905708540 is a wasteful number, since it uses less digits than its factorization.

9905708540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 47.

The square root of 9905708540 is about 99527.4260694006. The cubic root of 9905708540 is about 2147.6418016241.

The spelling of 9905708540 in words is "nine billion, nine hundred five million, seven hundred eight thousand, five hundred forty".