9750898800 has 720 divisors, whose sum is σ = 38137246560. Its totient is φ = 2363904000.

The previous prime is 9750898799. The next prime is 9750898867. The reversal of 9750898800 is 88980579.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 159850770 + ... + 159850830.

It is an arithmetic number, because the mean of its divisors is an integer number (52968398).

Almost surely, 2^9750898800 is an apocalyptic number.

9750898800 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 9750898800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19068623280).

9750898800 is an abundant number, since it is smaller than the sum of its proper divisors (28386347760).

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

9750898800 is a wasteful number, since it uses less digits than its factorization.

9750898800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The square root of 9750898800 is about 98746.6394364892. The cubic root of 9750898800 is about 2136.3949843981.

The spelling of 9750898800 in words is "nine billion, seven hundred fifty million, eight hundred ninety-eight thousand, eight hundred".