9799940026800 has 1440 divisors, whose sum is σ = 47257648888320. Its totient is φ = 1815677337600.

The previous prime is 9799940026787. The next prime is 9799940026813. The reversal of 9799940026800 is 86200499979.

It is an interprime number because it is at equal distance from previous prime (9799940026787) and next prime (9799940026813).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 89480874 + ... + 89590326.

It is an arithmetic number, because the mean of its divisors is an integer number (32817811728).

Almost surely, 2^{9799940026800} is an apocalyptic number.

9799940026800 is a gapful number since it is divisible by the number (90) 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 9799940026800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23628824444160).

9799940026800 is an abundant number, since it is smaller than the sum of its proper divisors (37457708861520).

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

9799940026800 is a wasteful number, since it uses less digits than its factorization.

9799940026800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109531 (or 109517 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 9799940026800 in words is "nine trillion, seven hundred ninety-nine billion, nine hundred forty million, twenty-six thousand, eight hundred".