9902265600 has 432 divisors, whose sum is σ = 34326052992. Its totient is φ = 2511175680.

The previous prime is 9902265589. The next prime is 9902265679. The reversal of 9902265600 is 65622099.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37651069 + ... + 37651331.

It is an arithmetic number, because the mean of its divisors is an integer number (79458456).

Almost surely, 2^9902265600 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 9902265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17163026496).

9902265600 is an abundant number, since it is smaller than the sum of its proper divisors (24423787392).

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

9902265600 is a wasteful number, since it uses less digits than its factorization.

9902265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 9902265600 is about 99510.1281277439. The cubic root of 9902265600 is about 2147.3929532396.

Adding to 9902265600 its reverse (65622099), we get a palindrome (9967887699).

The spelling of 9902265600 in words is "nine billion, nine hundred two million, two hundred sixty-five thousand, six hundred".