9905258880 has 768 divisors, whose sum is σ = 40491878400. Its totient is φ = 2267136000.

The previous prime is 9905258861. The next prime is 9905258899. The reversal of 9905258880 is 888525099.

9905258880 is a `hidden beast` number, since 9 + 9 + 0 + 52 + 588 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9905258861) and next prime (9905258899).

It is a super-2 number, since 2×9905258880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241591660 + ... + 241591700.

It is an arithmetic number, because the mean of its divisors is an integer number (52723800).

Almost surely, 2^9905258880 is an apocalyptic number.

9905258880 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 9905258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20245939200).

9905258880 is an abundant number, since it is smaller than the sum of its proper divisors (30586619520).

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

9905258880 is a wasteful number, since it uses less digits than its factorization.

9905258880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The square root of 9905258880 is about 99525.1670684355. The cubic root of 9905258880 is about 2147.6093044291.

The spelling of 9905258880 in words is "nine billion, nine hundred five million, two hundred fifty-eight thousand, eight hundred eighty".