9901375200 has 648 divisors, whose sum is σ = 38119450824. Its totient is φ = 2506982400.

The previous prime is 9901375163. The next prime is 9901375207. The reversal of 9901375200 is 25731099.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9901375207) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 186818374 + ... + 186818426.

It is an arithmetic number, because the mean of its divisors is an integer number (58826313).

Almost surely, 2^9901375200 is an apocalyptic number.

9901375200 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 9901375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19059725412).

9901375200 is an abundant number, since it is smaller than the sum of its proper divisors (28218075624).

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

9901375200 is a wasteful number, since it uses less digits than its factorization.

9901375200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 9901375200 is about 99505.6541107087. The cubic root of 9901375200 is about 2147.3285876330.

The spelling of 9901375200 in words is "nine billion, nine hundred one million, three hundred seventy-five thousand, two hundred".