9939939609600 has 4752 divisors, whose sum is σ = 50052087461376. Its totient is φ = 1851752448000.

The previous prime is 9939939609581. The next prime is 9939939609659. The reversal of 9939939609600 is 69069399399.

9939939609600 is a `hidden beast` number, since 9 + 9 + 3 + 9 + 9 + 3 + 9 + 6 + 0 + 9 + 600 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 75877401535 + ... + 75877401665.

It is an arithmetic number, because the mean of its divisors is an integer number (10532846688).

Almost surely, 2^{9939939609600} is an apocalyptic number.

9939939609600 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 9939939609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25026043730688).

9939939609600 is an abundant number, since it is smaller than the sum of its proper divisors (40112147851776).

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

9939939609600 is a wasteful number, since it uses less digits than its factorization.

9939939609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 172186884, while the sum is 72.

The spelling of 9939939609600 in words is "nine trillion, nine hundred thirty-nine billion, nine hundred thirty-nine million, six hundred nine thousand, six hundred".