9911948921280 has 672 divisors, whose sum is σ = 40015396362240. Its totient is φ = 2204958965760.

The previous prime is 9911948921279. The next prime is 9911948921431. The reversal of 9911948921280 is 821298491199.

9911948921280 is a `hidden beast` number, since 9 + 91 + 194 + 89 + 2 + 1 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169576860 + ... + 169635300.

Almost surely, 2^{9911948921280} is an apocalyptic number.

9911948921280 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 9911948921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20007698181120).

9911948921280 is an abundant number, since it is smaller than the sum of its proper divisors (30103447440960).

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

9911948921280 is a wasteful number, since it uses less digits than its factorization.

9911948921280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58697 (or 58684 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 63.

The spelling of 9911948921280 in words is "nine trillion, nine hundred eleven billion, nine hundred forty-eight million, nine hundred twenty-one thousand, two hundred eighty".