9959921748504 has 1152 divisors, whose sum is σ = 37451230502400. Its totient is φ = 2326738452480.

The previous prime is 9959921748479. The next prime is 9959921748533. The reversal of 9959921748504 is 4058471299599.

9959921748504 is a `hidden beast` number, since 9 + 9 + 5 + 99 + 21 + 7 + 4 + 8 + 504 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4484430114 + ... + 4484432334.

It is an arithmetic number, because the mean of its divisors is an integer number (32509748700).

Almost surely, 2^{9959921748504} 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 9959921748504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18725615251200).

9959921748504 is an abundant number, since it is smaller than the sum of its proper divisors (27491308753896).

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

9959921748504 is a wasteful number, since it uses less digits than its factorization.

9959921748504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 9959921748504 in words is "nine trillion, nine hundred fifty-nine billion, nine hundred twenty-one million, seven hundred forty-eight thousand, five hundred four".