9931959873504 has 288 divisors, whose sum is σ = 29412266371488. Its totient is φ = 3176828928000.

The previous prime is 9931959873469. The next prime is 9931959873509. The reversal of 9931959873504 is 4053789591399.

9931959873504 is a `hidden beast` number, since 9 + 9 + 3 + 195 + 9 + 87 + 350 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×9931959873504³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9931959873509) 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, 174765414 + ... + 174822234.

It is an arithmetic number, because the mean of its divisors is an integer number (102125924901).

Almost surely, 2^{9931959873504} 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 9931959873504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14706133185744).

9931959873504 is an abundant number, since it is smaller than the sum of its proper divisors (19480306497984).

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

9931959873504 is a wasteful number, since it uses less digits than its factorization.

9931959873504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57122 (or 57111 counting only the distinct ones).

The product of its (nonzero) digits is 330674400, while the sum is 72.

The spelling of 9931959873504 in words is "nine trillion, nine hundred thirty-one billion, nine hundred fifty-nine million, eight hundred seventy-three thousand, five hundred four".