9901853280 has 288 divisors, whose sum is σ = 38466005760. Its totient is φ = 2295997440.

The previous prime is 9901853231. The next prime is 9901853317. The reversal of 9901853280 is 823581099.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350731 + ... + 377909.

It is an arithmetic number, because the mean of its divisors is an integer number (133562520).

Almost surely, 2^9901853280 is an apocalyptic number.

9901853280 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 9901853280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19233002880).

9901853280 is an abundant number, since it is smaller than the sum of its proper divisors (28564152480).

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

9901853280 is a wasteful number, since it uses less digits than its factorization.

9901853280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27234 (or 27223 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 9901853280 is about 99508.0563572618. The cubic root of 9901853280 is about 2147.3631477592.

The spelling of 9901853280 in words is "nine billion, nine hundred one million, eight hundred fifty-three thousand, two hundred eighty".