9930513600 has 336 divisors, whose sum is σ = 41373145600. Its totient is φ = 2269762560.

The previous prime is 9930513599. The next prime is 9930513601. The reversal of 9930513600 is 63150399.

9930513600 is a `hidden beast` number, since 9 + 9 + 30 + 5 + 13 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (9930513599) and next prime (9930513601).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (9930513601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285981 + ... + 318819.

Almost surely, 2^9930513600 is an apocalyptic number.

9930513600 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 9930513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20686572800).

9930513600 is an abundant number, since it is smaller than the sum of its proper divisors (31442632000).

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

9930513600 is a wasteful number, since it uses less digits than its factorization.

9930513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32877 (or 32856 counting only the distinct ones).

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

The square root of 9930513600 is about 99651.9623489673. The cubic root of 9930513600 is about 2149.4329566440.

Adding to 9930513600 its reverse (63150399), we get a palindrome (9993663999).

The spelling of 9930513600 in words is "nine billion, nine hundred thirty million, five hundred thirteen thousand, six hundred".