9835880710656 has 960 divisors, whose sum is σ = 35952386899968. Its totient is φ = 2324754432000.

The previous prime is 9835880710633. The next prime is 9835880710687. The reversal of 9835880710656 is 6560170885389.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1200811521 + ... + 1200819711.

Almost surely, 2^{9835880710656} is an apocalyptic number.

9835880710656 is a gapful number since it is divisible by the number (96) 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 9835880710656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17976193449984).

9835880710656 is an abundant number, since it is smaller than the sum of its proper divisors (26116506189312).

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

9835880710656 is a wasteful number, since it uses less digits than its factorization.

9835880710656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8325 (or 8298 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 66.

The spelling of 9835880710656 in words is "nine trillion, eight hundred thirty-five billion, eight hundred eighty million, seven hundred ten thousand, six hundred fifty-six".