9836960421288 has 768 divisors, whose sum is σ = 36087736688640. Its totient is φ = 2188466380800.

The previous prime is 9836960421269. The next prime is 9836960421313. The reversal of 9836960421288 is 8821240696389.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 202954545 + ... + 203003007.

It is an arithmetic number, because the mean of its divisors is an integer number (46989240480).

Almost surely, 2^{9836960421288} is an apocalyptic number.

9836960421288 is a gapful number since it is divisible by the number (98) 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 9836960421288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18043868344320).

9836960421288 is an abundant number, since it is smaller than the sum of its proper divisors (26250776267352).

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

9836960421288 is a wasteful number, since it uses less digits than its factorization.

9836960421288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48598 (or 48587 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 66.

The spelling of 9836960421288 in words is "nine trillion, eight hundred thirty-six billion, nine hundred sixty million, four hundred twenty-one thousand, two hundred eighty-eight".