9873360505008 has 1200 divisors, whose sum is σ = 40111776182016. Its totient is φ = 2264158448640.

The previous prime is 9873360504977. The next prime is 9873360505027. The reversal of 9873360505008 is 8005050633789.

It is a happy number.

9873360505008 is a `hidden beast` number, since 9 + 8 + 73 + 3 + 60 + 5 + 0 + 500 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 686262391 + ... + 686276777.

Almost surely, 2^{9873360505008} 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 9873360505008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20055888091008).

9873360505008 is an abundant number, since it is smaller than the sum of its proper divisors (30238415677008).

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

9873360505008 is a wasteful number, since it uses less digits than its factorization.

9873360505008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14484 (or 14446 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 9873360505008 in words is "nine trillion, eight hundred seventy-three billion, three hundred sixty million, five hundred five thousand, eight".