9966505500 has 288 divisors, whose sum is σ = 36813748608. Its totient is φ = 2222208000.

The previous prime is 9966505427. The next prime is 9966505513. The reversal of 9966505500 is 55056699.

9966505500 is a `hidden beast` number, since 9 + 96 + 6 + 5 + 0 + 550 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1287642 + ... + 1295358.

It is an arithmetic number, because the mean of its divisors is an integer number (127825516).

Almost surely, 2^9966505500 is an apocalyptic number.

9966505500 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 9966505500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18406874304).

9966505500 is an abundant number, since it is smaller than the sum of its proper divisors (26847243108).

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

9966505500 is a wasteful number, since it uses less digits than its factorization.

9966505500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7790 (or 7775 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The square root of 9966505500 is about 99832.3870294605. The cubic root of 9966505500 is about 2152.0266090209.

The spelling of 9966505500 in words is "nine billion, nine hundred sixty-six million, five hundred five thousand, five hundred".