9905020365240 has 3456 divisors, whose sum is σ = 46687303454400. Its totient is φ = 1883051089920.

The previous prime is 9905020365239. The next prime is 9905020365263. The reversal of 9905020365240 is 425630205099.

9905020365240 is a `hidden beast` number, since 9 + 90 + 5 + 0 + 2 + 0 + 36 + 524 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 87655047424 + ... + 87655047536.

Almost surely, 2^{9905020365240} is an apocalyptic number.

9905020365240 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 9905020365240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23343651727200).

9905020365240 is an abundant number, since it is smaller than the sum of its proper divisors (36782283089160).

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

9905020365240 is a wasteful number, since it uses less digits than its factorization.

9905020365240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 9905020365240 in words is "nine trillion, nine hundred five billion, twenty million, three hundred sixty-five thousand, two hundred forty".