9913503600 has 1440 divisors, whose sum is σ = 48589390080. Its totient is φ = 1886976000.

The previous prime is 9913503583. The next prime is 9913503643. The reversal of 9913503600 is 63053199.

9913503600 is a `hidden beast` number, since 9 + 91 + 3 + 503 + 60 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 75675535 + ... + 75675665.

It is an arithmetic number, because the mean of its divisors is an integer number (33742632).

Almost surely, 2^9913503600 is an apocalyptic number.

9913503600 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 9913503600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24294695040).

9913503600 is an abundant number, since it is smaller than the sum of its proper divisors (38675886480).

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

9913503600 is a wasteful number, since it uses less digits than its factorization.

9913503600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 9913503600 is about 99566.5787300136. The cubic root of 9913503600 is about 2148.2049990048.

Adding to 9913503600 its reverse (63053199), we get a palindrome (9976556799).

The spelling of 9913503600 in words is "nine billion, nine hundred thirteen million, five hundred three thousand, six hundred".