9981597600 has 1080 divisors, whose sum is σ = 42658277508. Its totient is φ = 2256076800.

The previous prime is 9981597553. The next prime is 9981597701. The reversal of 9981597600 is 67951899.

It can be written as a sum of positive squares in 18 ways, for example, as 1010476944 + 8971120656 = 31788^2 + 94716^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 243453580 + ... + 243453620.

Almost surely, 2^9981597600 is an apocalyptic number.

9981597600 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 9981597600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21329138754).

9981597600 is an abundant number, since it is smaller than the sum of its proper divisors (32676679908).

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

9981597600 is a wasteful number, since it uses less digits than its factorization.

9981597600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 9981597600 is about 99907.9456299648. The cubic root of 9981597600 is about 2153.1123195755.

The spelling of 9981597600 in words is "nine billion, nine hundred eighty-one million, five hundred ninety-seven thousand, six hundred".