9910480896000 has 896 divisors, whose sum is σ = 37098482709600. Its totient is φ = 2641998643200.

The previous prime is 9910480895989. The next prime is 9910480896011. The reversal of 9910480896000 is 6980840199.

9910480896000 is a `hidden beast` number, since 99 + 10 + 480 + 8 + 9 + 60 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9910480895989) and next prime (9910480896011).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2985982341 + ... + 2985985659.

Almost surely, 2^{9910480896000} is an apocalyptic number.

9910480896000 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 9910480896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18549241354800).

9910480896000 is an abundant number, since it is smaller than the sum of its proper divisors (27188001813600).

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

9910480896000 is an frugal number, since it uses more digits than its factorization.

9910480896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 9910480896000 in words is "nine trillion, nine hundred ten billion, four hundred eighty million, eight hundred ninety-six thousand".