9801625600 has 312 divisors, whose sum is σ = 27017194400. Its totient is φ = 3503554560.

The previous prime is 9801625531. The next prime is 9801625693. The reversal of 9801625600 is 65261089.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 9801625600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49254301 + ... + 49254499.

Almost surely, 2^9801625600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9801625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13508597200).

9801625600 is an abundant number, since it is smaller than the sum of its proper divisors (17215568800).

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

9801625600 is a wasteful number, since it uses less digits than its factorization.

9801625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 9801625600 is about 99003.1595455418. The cubic root of 9801625600 is about 2140.0932791902.

Adding to 9801625600 its reverse (65261089), we get a palindrome (9866886689).

The spelling of 9801625600 in words is "nine billion, eight hundred one million, six hundred twenty-five thousand, six hundred".