9801129600 has 240 divisors, whose sum is σ = 36169280070. Its totient is φ = 2613565440.

The previous prime is 9801129551. The next prime is 9801129607. The reversal of 9801129600 is 69211089.

It can be written as a sum of positive squares in 3 ways, for example, as 3562657344 + 6238472256 = 59688^2 + 78984^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9801129607) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 240294 + ... + 278106.

Almost surely, 2^9801129600 is an apocalyptic number.

9801129600 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 9801129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18084640035).

9801129600 is an abundant number, since it is smaller than the sum of its proper divisors (26368150470).

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

9801129600 is a wasteful number, since it uses less digits than its factorization.

9801129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37849 (or 37823 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 9801129600 is about 99000.6545432908. The cubic root of 9801129600 is about 2140.0571795943.

It can be divided in two parts, 9801 and 129600, that multiplied together give a square (1270209600 = 35640²).

The spelling of 9801129600 in words is "nine billion, eight hundred one million, one hundred twenty-nine thousand, six hundred".