9881949127680 has 704 divisors, whose sum is σ = 40701188136960. Its totient is φ = 2226902630400.

The previous prime is 9881949127663. The next prime is 9881949127681. The reversal of 9881949127680 is 867219491889.

9881949127680 is a `hidden beast` number, since 9 + 8 + 8 + 194 + 91 + 276 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9881949127599 and 9881949127608.

It is not an unprimeable number, because it can be changed into a prime (9881949127681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68633365 + ... + 68777195.

Almost surely, 2^{9881949127680} is an apocalyptic number.

9881949127680 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 9881949127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20350594068480).

9881949127680 is an abundant number, since it is smaller than the sum of its proper divisors (30819239009280).

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

9881949127680 is a wasteful number, since it uses less digits than its factorization.

9881949127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143943 (or 143919 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 72.

The spelling of 9881949127680 in words is "nine trillion, eight hundred eighty-one billion, nine hundred forty-nine million, one hundred twenty-seven thousand, six hundred eighty".