9971539200 has 486 divisors, whose sum is σ = 41482731654. Its totient is φ = 2278563840.

The previous prime is 9971539189. The next prime is 9971539213. The reversal of 9971539200 is 29351799.

It is a happy number.

9971539200 is a `hidden beast` number, since 9 + 97 + 1 + 539 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1680344064 + 8291195136 = 40992^2 + 91056^2 .

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 53 ways as a sum of consecutive naturals, for example, 2820634 + ... + 2824166.

Almost surely, 2^9971539200 is an apocalyptic number.

9971539200 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 9971539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20741365827).

9971539200 is an abundant number, since it is smaller than the sum of its proper divisors (31511192454).

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

9971539200 is a wasteful number, since it uses less digits than its factorization.

9971539200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 9971539200 is about 99857.5946035153. The cubic root of 9971539200 is about 2152.3888501004.

The spelling of 9971539200 in words is "nine billion, nine hundred seventy-one million, five hundred thirty-nine thousand, two hundred".