9998277120 has 400 divisors, whose sum is σ = 38575734120. Its totient is φ = 2460450816.

The previous prime is 9998277101. The next prime is 9998277127. The reversal of 9998277120 is 217728999.

It can be written as a sum of positive squares in 4 ways, for example, as 5039864064 + 4958413056 = 70992^2 + 70416^2 .

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

It is not an unprimeable number, because it can be changed into a prime (9998277127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2693826 + ... + 2697534.

Almost surely, 2^9998277120 is an apocalyptic number.

9998277120 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 9998277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19287867060).

9998277120 is an abundant number, since it is smaller than the sum of its proper divisors (28577457000).

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

9998277120 is a wasteful number, since it uses less digits than its factorization.

9998277120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3757 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The square root of 9998277120 is about 99991.3852289286. The cubic root of 9998277120 is about 2154.3109551776.

The spelling of 9998277120 in words is "nine billion, nine hundred ninety-eight million, two hundred seventy-seven thousand, one hundred twenty".